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Finding the Third Proportional to 71,507.50 and 107,229

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Solution

The third proportional to 71,507.50 and 107,229 is: 160,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,507.50 : 107,229 = 107,229 : x
  2. Step 2: Convert to fraction form
    71,507.50/107,229 = 107,229/x
  3. Step 3: Cross multiply
    71,507.50x = 107,229 × 107,229
  4. Step 4: Simplify right side
    71,507.50x = 11,498,058,441
  5. Step 5: Solve for x
    x = 11,498,058,441/71,507.50
  6. Step 6: Final answer
    x = 160,795.14

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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.