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Finding the Third Proportional to 74,773.13 and 109,972.69

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Solution

The third proportional to 74,773.13 and 109,972.69 is: 161,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,773.13 : 109,972.69 = 109,972.69 : x
  2. Step 2: Convert to fraction form
    74,773.13/109,972.69 = 109,972.69/x
  3. Step 3: Cross multiply
    74,773.13x = 109,972.69 × 109,972.69
  4. Step 4: Simplify right side
    74,773.13x = 12,093,991,995.97
  5. Step 5: Solve for x
    x = 12,093,991,995.97/74,773.13
  6. Step 6: Final answer
    x = 161,742.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.