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Finding the Third Proportional to 74,864.25 and 112,372.31

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Solution

The third proportional to 74,864.25 and 112,372.31 is: 168,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,864.25 : 112,372.31 = 112,372.31 : x
  2. Step 2: Convert to fraction form
    74,864.25/112,372.31 = 112,372.31/x
  3. Step 3: Cross multiply
    74,864.25x = 112,372.31 × 112,372.31
  4. Step 4: Simplify right side
    74,864.25x = 12,627,536,616.60
  5. Step 5: Solve for x
    x = 12,627,536,616.60/74,864.25
  6. Step 6: Final answer
    x = 168,672.45

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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.