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Finding the Third Proportional to 132,407.25 and 170,007.75

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Solution

The third proportional to 132,407.25 and 170,007.75 is: 218,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,407.25 : 170,007.75 = 170,007.75 : x
  2. Step 2: Convert to fraction form
    132,407.25/170,007.75 = 170,007.75/x
  3. Step 3: Cross multiply
    132,407.25x = 170,007.75 × 170,007.75
  4. Step 4: Simplify right side
    132,407.25x = 28,902,635,060.06
  5. Step 5: Solve for x
    x = 28,902,635,060.06/132,407.25
  6. Step 6: Final answer
    x = 218,285.89

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.