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Finding the Third Proportional to 101,432 and 157,889

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Solution

The third proportional to 101,432 and 157,889 is: 245,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432 : 157,889 = 157,889 : x
  2. Step 2: Convert to fraction form
    101,432/157,889 = 157,889/x
  3. Step 3: Cross multiply
    101,432x = 157,889 × 157,889
  4. Step 4: Simplify right side
    101,432x = 24,928,936,321
  5. Step 5: Solve for x
    x = 24,928,936,321/101,432
  6. Step 6: Final answer
    x = 245,769.94

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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.