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Finding the Third Proportional to 74,727 and 112,371

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Solution

The third proportional to 74,727 and 112,371 is: 168,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,727 : 112,371 = 112,371 : x
  2. Step 2: Convert to fraction form
    74,727/112,371 = 112,371/x
  3. Step 3: Cross multiply
    74,727x = 112,371 × 112,371
  4. Step 4: Simplify right side
    74,727x = 12,627,241,641
  5. Step 5: Solve for x
    x = 12,627,241,641/74,727
  6. Step 6: Final answer
    x = 168,978.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.