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Finding the Third Proportional to 75,686.25 and 171,034.13

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Solution

The third proportional to 75,686.25 and 171,034.13 is: 386,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,686.25 : 171,034.13 = 171,034.13 : x
  2. Step 2: Convert to fraction form
    75,686.25/171,034.13 = 171,034.13/x
  3. Step 3: Cross multiply
    75,686.25x = 171,034.13 × 171,034.13
  4. Step 4: Simplify right side
    75,686.25x = 29,252,671,914.52
  5. Step 5: Solve for x
    x = 29,252,671,914.52/75,686.25
  6. Step 6: Final answer
    x = 386,499.16

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.