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Finding the Third Proportional to 83,523.66 and 175,248.56

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Solution

The third proportional to 83,523.66 and 175,248.56 is: 367,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,523.66 : 175,248.56 = 175,248.56 : x
  2. Step 2: Convert to fraction form
    83,523.66/175,248.56 = 175,248.56/x
  3. Step 3: Cross multiply
    83,523.66x = 175,248.56 × 175,248.56
  4. Step 4: Simplify right side
    83,523.66x = 30,712,058,658.32
  5. Step 5: Solve for x
    x = 30,712,058,658.32/83,523.66
  6. Step 6: Final answer
    x = 367,704.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.