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Finding the Third Proportional to 57,255.61 and 84,172.92

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Solution

The third proportional to 57,255.61 and 84,172.92 is: 123,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,255.61 : 84,172.92 = 84,172.92 : x
  2. Step 2: Convert to fraction form
    57,255.61/84,172.92 = 84,172.92/x
  3. Step 3: Cross multiply
    57,255.61x = 84,172.92 × 84,172.92
  4. Step 4: Simplify right side
    57,255.61x = 7,085,080,776.97
  5. Step 5: Solve for x
    x = 7,085,080,776.97/57,255.61
  6. Step 6: Final answer
    x = 123,744.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.