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Finding the Third Proportional to 83,126.25 and 148,614.75

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Solution

The third proportional to 83,126.25 and 148,614.75 is: 265,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,126.25 : 148,614.75 = 148,614.75 : x
  2. Step 2: Convert to fraction form
    83,126.25/148,614.75 = 148,614.75/x
  3. Step 3: Cross multiply
    83,126.25x = 148,614.75 × 148,614.75
  4. Step 4: Simplify right side
    83,126.25x = 22,086,343,917.56
  5. Step 5: Solve for x
    x = 22,086,343,917.56/83,126.25
  6. Step 6: Final answer
    x = 265,696.38

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.