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Finding the Third Proportional to 57,508.16 and 125,677.84

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Solution

The third proportional to 57,508.16 and 125,677.84 is: 274,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,508.16 : 125,677.84 = 125,677.84 : x
  2. Step 2: Convert to fraction form
    57,508.16/125,677.84 = 125,677.84/x
  3. Step 3: Cross multiply
    57,508.16x = 125,677.84 × 125,677.84
  4. Step 4: Simplify right side
    57,508.16x = 15,794,920,409.65
  5. Step 5: Solve for x
    x = 15,794,920,409.65/57,508.16
  6. Step 6: Final answer
    x = 274,655.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.