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Finding the Third Proportional to 101,432.25 and 157,889.25

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Solution

The third proportional to 101,432.25 and 157,889.25 is: 245,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.25 : 157,889.25 = 157,889.25 : x
  2. Step 2: Convert to fraction form
    101,432.25/157,889.25 = 157,889.25/x
  3. Step 3: Cross multiply
    101,432.25x = 157,889.25 × 157,889.25
  4. Step 4: Simplify right side
    101,432.25x = 24,929,015,265.56
  5. Step 5: Solve for x
    x = 24,929,015,265.56/101,432.25
  6. Step 6: Final answer
    x = 245,770.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.