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Finding the Third Proportional to 60,749 and 85,510

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Solution

The third proportional to 60,749 and 85,510 is: 120,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,749 : 85,510 = 85,510 : x
  2. Step 2: Convert to fraction form
    60,749/85,510 = 85,510/x
  3. Step 3: Cross multiply
    60,749x = 85,510 × 85,510
  4. Step 4: Simplify right side
    60,749x = 7,311,960,100
  5. Step 5: Solve for x
    x = 7,311,960,100/60,749
  6. Step 6: Final answer
    x = 120,363.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.