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Finding the Third Proportional to 132,759 and 292,187.25

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Solution

The third proportional to 132,759 and 292,187.25 is: 643,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,759 : 292,187.25 = 292,187.25 : x
  2. Step 2: Convert to fraction form
    132,759/292,187.25 = 292,187.25/x
  3. Step 3: Cross multiply
    132,759x = 292,187.25 × 292,187.25
  4. Step 4: Simplify right side
    132,759x = 85,373,389,062.56
  5. Step 5: Solve for x
    x = 85,373,389,062.56/132,759
  6. Step 6: Final answer
    x = 643,070.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.