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Finding the Third Proportional to 53,546.38 and 79,734.85

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Solution

The third proportional to 53,546.38 and 79,734.85 is: 118,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,546.38 : 79,734.85 = 79,734.85 : x
  2. Step 2: Convert to fraction form
    53,546.38/79,734.85 = 79,734.85/x
  3. Step 3: Cross multiply
    53,546.38x = 79,734.85 × 79,734.85
  4. Step 4: Simplify right side
    53,546.38x = 6,357,646,242.23
  5. Step 5: Solve for x
    x = 6,357,646,242.23/53,546.38
  6. Step 6: Final answer
    x = 118,731.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.