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Finding the Third Proportional to 81,900 and 123,427.13

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Solution

The third proportional to 81,900 and 123,427.13 is: 186,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,900 : 123,427.13 = 123,427.13 : x
  2. Step 2: Convert to fraction form
    81,900/123,427.13 = 123,427.13/x
  3. Step 3: Cross multiply
    81,900x = 123,427.13 × 123,427.13
  4. Step 4: Simplify right side
    81,900x = 15,234,255,185.77
  5. Step 5: Solve for x
    x = 15,234,255,185.77/81,900
  6. Step 6: Final answer
    x = 186,010.44

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Why These Related Problems?

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