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Finding the Third Proportional to 60,359.50 and 130,061

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Solution

The third proportional to 60,359.50 and 130,061 is: 280,251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,359.50 : 130,061 = 130,061 : x
  2. Step 2: Convert to fraction form
    60,359.50/130,061 = 130,061/x
  3. Step 3: Cross multiply
    60,359.50x = 130,061 × 130,061
  4. Step 4: Simplify right side
    60,359.50x = 16,915,863,721
  5. Step 5: Solve for x
    x = 16,915,863,721/60,359.50
  6. Step 6: Final answer
    x = 280,251.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.