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Finding the Third Proportional to 42,232 and 59,389

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Solution

The third proportional to 42,232 and 59,389 is: 83,516.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,232 : 59,389 = 59,389 : x
  2. Step 2: Convert to fraction form
    42,232/59,389 = 59,389/x
  3. Step 3: Cross multiply
    42,232x = 59,389 × 59,389
  4. Step 4: Simplify right side
    42,232x = 3,527,053,321
  5. Step 5: Solve for x
    x = 3,527,053,321/42,232
  6. Step 6: Final answer
    x = 83,516.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.