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Finding the Third Proportional to 60,098 and 139,124

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Solution

The third proportional to 60,098 and 139,124 is: 322,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,098 : 139,124 = 139,124 : x
  2. Step 2: Convert to fraction form
    60,098/139,124 = 139,124/x
  3. Step 3: Cross multiply
    60,098x = 139,124 × 139,124
  4. Step 4: Simplify right side
    60,098x = 19,355,487,376
  5. Step 5: Solve for x
    x = 19,355,487,376/60,098
  6. Step 6: Final answer
    x = 322,065.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.