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Finding the Third Proportional to 67,932 and 148,972.50

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Solution

The third proportional to 67,932 and 148,972.50 is: 326,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,932 : 148,972.50 = 148,972.50 : x
  2. Step 2: Convert to fraction form
    67,932/148,972.50 = 148,972.50/x
  3. Step 3: Cross multiply
    67,932x = 148,972.50 × 148,972.50
  4. Step 4: Simplify right side
    67,932x = 22,192,805,756.25
  5. Step 5: Solve for x
    x = 22,192,805,756.25/67,932
  6. Step 6: Final answer
    x = 326,691.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.