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Finding the Third Proportional to 125,069.06 and 275,046.57

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Solution

The third proportional to 125,069.06 and 275,046.57 is: 604,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,069.06 : 275,046.57 = 275,046.57 : x
  2. Step 2: Convert to fraction form
    125,069.06/275,046.57 = 275,046.57/x
  3. Step 3: Cross multiply
    125,069.06x = 275,046.57 × 275,046.57
  4. Step 4: Simplify right side
    125,069.06x = 75,650,617,989.47
  5. Step 5: Solve for x
    x = 75,650,617,989.47/125,069.06
  6. Step 6: Final answer
    x = 604,870.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.