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Finding the Third Proportional to 53,887.78 and 82,714.92

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Solution

The third proportional to 53,887.78 and 82,714.92 is: 126,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,887.78 : 82,714.92 = 82,714.92 : x
  2. Step 2: Convert to fraction form
    53,887.78/82,714.92 = 82,714.92/x
  3. Step 3: Cross multiply
    53,887.78x = 82,714.92 × 82,714.92
  4. Step 4: Simplify right side
    53,887.78x = 6,841,758,300.79
  5. Step 5: Solve for x
    x = 6,841,758,300.79/53,887.78
  6. Step 6: Final answer
    x = 126,963.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.