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Finding the Third Proportional to 57,290.06 and 123,357.38

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Solution

The third proportional to 57,290.06 and 123,357.38 is: 265,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,290.06 : 123,357.38 = 123,357.38 : x
  2. Step 2: Convert to fraction form
    57,290.06/123,357.38 = 123,357.38/x
  3. Step 3: Cross multiply
    57,290.06x = 123,357.38 × 123,357.38
  4. Step 4: Simplify right side
    57,290.06x = 15,217,041,966.89
  5. Step 5: Solve for x
    x = 15,217,041,966.89/57,290.06
  6. Step 6: Final answer
    x = 265,613.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.