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Finding the Third Proportional to 125,609.50 and 170,568.50

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Solution

The third proportional to 125,609.50 and 170,568.50 is: 231,619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,609.50 : 170,568.50 = 170,568.50 : x
  2. Step 2: Convert to fraction form
    125,609.50/170,568.50 = 170,568.50/x
  3. Step 3: Cross multiply
    125,609.50x = 170,568.50 × 170,568.50
  4. Step 4: Simplify right side
    125,609.50x = 29,093,613,192.25
  5. Step 5: Solve for x
    x = 29,093,613,192.25/125,609.50
  6. Step 6: Final answer
    x = 231,619.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.