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Finding the Third Proportional to 81,496.13 and 124,665.56

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Solution

The third proportional to 81,496.13 and 124,665.56 is: 190,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,496.13 : 124,665.56 = 124,665.56 : x
  2. Step 2: Convert to fraction form
    81,496.13/124,665.56 = 124,665.56/x
  3. Step 3: Cross multiply
    81,496.13x = 124,665.56 × 124,665.56
  4. Step 4: Simplify right side
    81,496.13x = 15,541,502,473.44
  5. Step 5: Solve for x
    x = 15,541,502,473.44/81,496.13
  6. Step 6: Final answer
    x = 190,702.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.