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Finding the Third Proportional to 57,504 and 86,448

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Solution

The third proportional to 57,504 and 86,448 is: 129,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,504 : 86,448 = 86,448 : x
  2. Step 2: Convert to fraction form
    57,504/86,448 = 86,448/x
  3. Step 3: Cross multiply
    57,504x = 86,448 × 86,448
  4. Step 4: Simplify right side
    57,504x = 7,473,256,704
  5. Step 5: Solve for x
    x = 7,473,256,704/57,504
  6. Step 6: Final answer
    x = 129,960.64

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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.