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Finding the Third Proportional to 60,928 and 90,624

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Solution

The third proportional to 60,928 and 90,624 is: 134,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,928 : 90,624 = 90,624 : x
  2. Step 2: Convert to fraction form
    60,928/90,624 = 90,624/x
  3. Step 3: Cross multiply
    60,928x = 90,624 × 90,624
  4. Step 4: Simplify right side
    60,928x = 8,212,709,376
  5. Step 5: Solve for x
    x = 8,212,709,376/60,928
  6. Step 6: Final answer
    x = 134,793.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.