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Finding the Third Proportional to 132,435.75 and 170,051.25

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Solution

The third proportional to 132,435.75 and 170,051.25 is: 218,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,435.75 : 170,051.25 = 170,051.25 : x
  2. Step 2: Convert to fraction form
    132,435.75/170,051.25 = 170,051.25/x
  3. Step 3: Cross multiply
    132,435.75x = 170,051.25 × 170,051.25
  4. Step 4: Simplify right side
    132,435.75x = 28,917,427,626.56
  5. Step 5: Solve for x
    x = 28,917,427,626.56/132,435.75
  6. Step 6: Final answer
    x = 218,350.62

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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.