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Finding the Third Proportional to 125,778 and 170,907

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Solution

The third proportional to 125,778 and 170,907 is: 232,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,778 : 170,907 = 170,907 : x
  2. Step 2: Convert to fraction form
    125,778/170,907 = 170,907/x
  3. Step 3: Cross multiply
    125,778x = 170,907 × 170,907
  4. Step 4: Simplify right side
    125,778x = 29,209,202,649
  5. Step 5: Solve for x
    x = 29,209,202,649/125,778
  6. Step 6: Final answer
    x = 232,228.23

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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.