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Finding the Third Proportional to 101,432.25 and 157,675.50

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Solution

The third proportional to 101,432.25 and 157,675.50 is: 245,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432.25 : 157,675.50 = 157,675.50 : x
  2. Step 2: Convert to fraction form
    101,432.25/157,675.50 = 157,675.50/x
  3. Step 3: Cross multiply
    101,432.25x = 157,675.50 × 157,675.50
  4. Step 4: Simplify right side
    101,432.25x = 24,861,563,300.25
  5. Step 5: Solve for x
    x = 24,861,563,300.25/101,432.25
  6. Step 6: Final answer
    x = 245,105.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.