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Finding the Third Proportional to 57,861 and 86,955

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Solution

The third proportional to 57,861 and 86,955 is: 130,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,861 : 86,955 = 86,955 : x
  2. Step 2: Convert to fraction form
    57,861/86,955 = 86,955/x
  3. Step 3: Cross multiply
    57,861x = 86,955 × 86,955
  4. Step 4: Simplify right side
    57,861x = 7,561,172,025
  5. Step 5: Solve for x
    x = 7,561,172,025/57,861
  6. Step 6: Final answer
    x = 130,678.21

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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.