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Finding the Third Proportional to 60,060 and 139,188

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Solution

The third proportional to 60,060 and 139,188 is: 322,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,060 : 139,188 = 139,188 : x
  2. Step 2: Convert to fraction form
    60,060/139,188 = 139,188/x
  3. Step 3: Cross multiply
    60,060x = 139,188 × 139,188
  4. Step 4: Simplify right side
    60,060x = 19,373,299,344
  5. Step 5: Solve for x
    x = 19,373,299,344/60,060
  6. Step 6: Final answer
    x = 322,565.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.