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Finding the Third Proportional to 60,968 and 130,387

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Solution

The third proportional to 60,968 and 130,387 is: 278,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,968 : 130,387 = 130,387 : x
  2. Step 2: Convert to fraction form
    60,968/130,387 = 130,387/x
  3. Step 3: Cross multiply
    60,968x = 130,387 × 130,387
  4. Step 4: Simplify right side
    60,968x = 17,000,769,769
  5. Step 5: Solve for x
    x = 17,000,769,769/60,968
  6. Step 6: Final answer
    x = 278,847.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.