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Finding the Third Proportional to 71,058.75 and 102,659.25

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Solution

The third proportional to 71,058.75 and 102,659.25 is: 148,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,058.75 : 102,659.25 = 102,659.25 : x
  2. Step 2: Convert to fraction form
    71,058.75/102,659.25 = 102,659.25/x
  3. Step 3: Cross multiply
    71,058.75x = 102,659.25 × 102,659.25
  4. Step 4: Simplify right side
    71,058.75x = 10,538,921,610.56
  5. Step 5: Solve for x
    x = 10,538,921,610.56/71,058.75
  6. Step 6: Final answer
    x = 148,312.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.