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Finding the Third Proportional to 48,438 and 72,706

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Solution

The third proportional to 48,438 and 72,706 is: 109,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,438 : 72,706 = 72,706 : x
  2. Step 2: Convert to fraction form
    48,438/72,706 = 72,706/x
  3. Step 3: Cross multiply
    48,438x = 72,706 × 72,706
  4. Step 4: Simplify right side
    48,438x = 5,286,162,436
  5. Step 5: Solve for x
    x = 5,286,162,436/48,438
  6. Step 6: Final answer
    x = 109,132.55

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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.