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Finding the Third Proportional to 86,586.75 and 130,132.13

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Solution

The third proportional to 86,586.75 and 130,132.13 is: 195,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,586.75 : 130,132.13 = 130,132.13 : x
  2. Step 2: Convert to fraction form
    86,586.75/130,132.13 = 130,132.13/x
  3. Step 3: Cross multiply
    86,586.75x = 130,132.13 × 130,132.13
  4. Step 4: Simplify right side
    86,586.75x = 16,934,369,957.02
  5. Step 5: Solve for x
    x = 16,934,369,957.02/86,586.75
  6. Step 6: Final answer
    x = 195,576.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.