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Finding the Third Proportional to 53,654.91 and 116,536.22

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Solution

The third proportional to 53,654.91 and 116,536.22 is: 253,111.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,654.91 : 116,536.22 = 116,536.22 : x
  2. Step 2: Convert to fraction form
    53,654.91/116,536.22 = 116,536.22/x
  3. Step 3: Cross multiply
    53,654.91x = 116,536.22 × 116,536.22
  4. Step 4: Simplify right side
    53,654.91x = 13,580,690,280.55
  5. Step 5: Solve for x
    x = 13,580,690,280.55/53,654.91
  6. Step 6: Final answer
    x = 253,111.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.