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Finding the Third Proportional to 103,177.13 and 155,805.75

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Solution

The third proportional to 103,177.13 and 155,805.75 is: 235,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,177.13 : 155,805.75 = 155,805.75 : x
  2. Step 2: Convert to fraction form
    103,177.13/155,805.75 = 155,805.75/x
  3. Step 3: Cross multiply
    103,177.13x = 155,805.75 × 155,805.75
  4. Step 4: Simplify right side
    103,177.13x = 24,275,431,733.06
  5. Step 5: Solve for x
    x = 24,275,431,733.06/103,177.13
  6. Step 6: Final answer
    x = 235,279.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.