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Finding the Third Proportional to 74,866 and 112,602

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Solution

The third proportional to 74,866 and 112,602 is: 169,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,866 : 112,602 = 112,602 : x
  2. Step 2: Convert to fraction form
    74,866/112,602 = 112,602/x
  3. Step 3: Cross multiply
    74,866x = 112,602 × 112,602
  4. Step 4: Simplify right side
    74,866x = 12,679,210,404
  5. Step 5: Solve for x
    x = 12,679,210,404/74,866
  6. Step 6: Final answer
    x = 169,358.73

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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.