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Finding the Third Proportional to 57,117.66 and 115,619.91

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Solution

The third proportional to 57,117.66 and 115,619.91 is: 234,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,117.66 : 115,619.91 = 115,619.91 : x
  2. Step 2: Convert to fraction form
    57,117.66/115,619.91 = 115,619.91/x
  3. Step 3: Cross multiply
    57,117.66x = 115,619.91 × 115,619.91
  4. Step 4: Simplify right side
    57,117.66x = 13,367,962,721.26
  5. Step 5: Solve for x
    x = 13,367,962,721.26/57,117.66
  6. Step 6: Final answer
    x = 234,042.56

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.