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Finding the Third Proportional to 75,246.47 and 100,362.80

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Solution

The third proportional to 75,246.47 and 100,362.80 is: 133,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246.47 : 100,362.80 = 100,362.80 : x
  2. Step 2: Convert to fraction form
    75,246.47/100,362.80 = 100,362.80/x
  3. Step 3: Cross multiply
    75,246.47x = 100,362.80 × 100,362.80
  4. Step 4: Simplify right side
    75,246.47x = 10,072,690,996.57
  5. Step 5: Solve for x
    x = 10,072,690,996.57/75,246.47
  6. Step 6: Final answer
    x = 133,862.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.