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Finding the Third Proportional to 125,281.13 and 170,208.56

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Solution

The third proportional to 125,281.13 and 170,208.56 is: 231,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,281.13 : 170,208.56 = 170,208.56 : x
  2. Step 2: Convert to fraction form
    125,281.13/170,208.56 = 170,208.56/x
  3. Step 3: Cross multiply
    125,281.13x = 170,208.56 × 170,208.56
  4. Step 4: Simplify right side
    125,281.13x = 28,970,954,748.32
  5. Step 5: Solve for x
    x = 28,970,954,748.32/125,281.13
  6. Step 6: Final answer
    x = 231,247.56

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