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Finding the Third Proportional to 125,857.13 and 182,841.75

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Solution

The third proportional to 125,857.13 and 182,841.75 is: 265,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,857.13 : 182,841.75 = 182,841.75 : x
  2. Step 2: Convert to fraction form
    125,857.13/182,841.75 = 182,841.75/x
  3. Step 3: Cross multiply
    125,857.13x = 182,841.75 × 182,841.75
  4. Step 4: Simplify right side
    125,857.13x = 33,431,105,543.06
  5. Step 5: Solve for x
    x = 33,431,105,543.06/125,857.13
  6. Step 6: Final answer
    x = 265,627.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.