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Finding the Third Proportional to 125,116.50 and 275,778

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Solution

The third proportional to 125,116.50 and 275,778 is: 607,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,116.50 : 275,778 = 275,778 : x
  2. Step 2: Convert to fraction form
    125,116.50/275,778 = 275,778/x
  3. Step 3: Cross multiply
    125,116.50x = 275,778 × 275,778
  4. Step 4: Simplify right side
    125,116.50x = 76,053,505,284
  5. Step 5: Solve for x
    x = 76,053,505,284/125,116.50
  6. Step 6: Final answer
    x = 607,861.52

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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.