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Finding the Third Proportional to 53,704.13 and 116,656.88

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Solution

The third proportional to 53,704.13 and 116,656.88 is: 253,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,704.13 : 116,656.88 = 116,656.88 : x
  2. Step 2: Convert to fraction form
    53,704.13/116,656.88 = 116,656.88/x
  3. Step 3: Cross multiply
    53,704.13x = 116,656.88 × 116,656.88
  4. Step 4: Simplify right side
    53,704.13x = 13,608,826,484.77
  5. Step 5: Solve for x
    x = 13,608,826,484.77/53,704.13
  6. Step 6: Final answer
    x = 253,403.75

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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.