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Finding the Third Proportional to 81,502.14 and 175,055.55

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Solution

The third proportional to 81,502.14 and 175,055.55 is: 375,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,502.14 : 175,055.55 = 175,055.55 : x
  2. Step 2: Convert to fraction form
    81,502.14/175,055.55 = 175,055.55/x
  3. Step 3: Cross multiply
    81,502.14x = 175,055.55 × 175,055.55
  4. Step 4: Simplify right side
    81,502.14x = 30,644,447,226.95
  5. Step 5: Solve for x
    x = 30,644,447,226.95/81,502.14
  6. Step 6: Final answer
    x = 375,995.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.