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Finding the Third Proportional to 53,615.67 and 94,177.69

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Solution

The third proportional to 53,615.67 and 94,177.69 is: 165,426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615.67 : 94,177.69 = 94,177.69 : x
  2. Step 2: Convert to fraction form
    53,615.67/94,177.69 = 94,177.69/x
  3. Step 3: Cross multiply
    53,615.67x = 94,177.69 × 94,177.69
  4. Step 4: Simplify right side
    53,615.67x = 8,869,436,822.85
  5. Step 5: Solve for x
    x = 8,869,436,822.85/53,615.67
  6. Step 6: Final answer
    x = 165,426.20

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.