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Finding the Third Proportional to 61,279.88 and 128,172.38

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Solution

The third proportional to 61,279.88 and 128,172.38 is: 268,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,279.88 : 128,172.38 = 128,172.38 : x
  2. Step 2: Convert to fraction form
    61,279.88/128,172.38 = 128,172.38/x
  3. Step 3: Cross multiply
    61,279.88x = 128,172.38 × 128,172.38
  4. Step 4: Simplify right side
    61,279.88x = 16,428,157,713.14
  5. Step 5: Solve for x
    x = 16,428,157,713.14/61,279.88
  6. Step 6: Final answer
    x = 268,084.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.