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Finding the Third Proportional to 123,254.25 and 195,001.88

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Solution

The third proportional to 123,254.25 and 195,001.88 is: 308,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,254.25 : 195,001.88 = 195,001.88 : x
  2. Step 2: Convert to fraction form
    123,254.25/195,001.88 = 195,001.88/x
  3. Step 3: Cross multiply
    123,254.25x = 195,001.88 × 195,001.88
  4. Step 4: Simplify right side
    123,254.25x = 38,025,731,253.52
  5. Step 5: Solve for x
    x = 38,025,731,253.52/123,254.25
  6. Step 6: Final answer
    x = 308,514.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.