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Finding the Third Proportional to 58,100.75 and 123,177.75

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Solution

The third proportional to 58,100.75 and 123,177.75 is: 261,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,100.75 : 123,177.75 = 123,177.75 : x
  2. Step 2: Convert to fraction form
    58,100.75/123,177.75 = 123,177.75/x
  3. Step 3: Cross multiply
    58,100.75x = 123,177.75 × 123,177.75
  4. Step 4: Simplify right side
    58,100.75x = 15,172,758,095.06
  5. Step 5: Solve for x
    x = 15,172,758,095.06/58,100.75
  6. Step 6: Final answer
    x = 261,145.65

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.