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Finding the Third Proportional to 42,554 and 59,487

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Solution

The third proportional to 42,554 and 59,487 is: 83,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,554 : 59,487 = 59,487 : x
  2. Step 2: Convert to fraction form
    42,554/59,487 = 59,487/x
  3. Step 3: Cross multiply
    42,554x = 59,487 × 59,487
  4. Step 4: Simplify right side
    42,554x = 3,538,703,169
  5. Step 5: Solve for x
    x = 3,538,703,169/42,554
  6. Step 6: Final answer
    x = 83,157.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.