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Finding the Third Proportional to 138,015 and 207,708.75

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Solution

The third proportional to 138,015 and 207,708.75 is: 312,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,015 : 207,708.75 = 207,708.75 : x
  2. Step 2: Convert to fraction form
    138,015/207,708.75 = 207,708.75/x
  3. Step 3: Cross multiply
    138,015x = 207,708.75 × 207,708.75
  4. Step 4: Simplify right side
    138,015x = 43,142,924,826.56
  5. Step 5: Solve for x
    x = 43,142,924,826.56/138,015
  6. Step 6: Final answer
    x = 312,595.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.