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Finding the Third Proportional to 125,442.11 and 182,887.88

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Solution

The third proportional to 125,442.11 and 182,887.88 is: 266,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,442.11 : 182,887.88 = 182,887.88 : x
  2. Step 2: Convert to fraction form
    125,442.11/182,887.88 = 182,887.88/x
  3. Step 3: Cross multiply
    125,442.11x = 182,887.88 × 182,887.88
  4. Step 4: Simplify right side
    125,442.11x = 33,447,974,822.02
  5. Step 5: Solve for x
    x = 33,447,974,822.02/125,442.11
  6. Step 6: Final answer
    x = 266,640.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.