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Finding the Third Proportional to 124,464.38 and 188,577.28

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Solution

The third proportional to 124,464.38 and 188,577.28 is: 285,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,464.38 : 188,577.28 = 188,577.28 : x
  2. Step 2: Convert to fraction form
    124,464.38/188,577.28 = 188,577.28/x
  3. Step 3: Cross multiply
    124,464.38x = 188,577.28 × 188,577.28
  4. Step 4: Simplify right side
    124,464.38x = 35,561,391,003.64
  5. Step 5: Solve for x
    x = 35,561,391,003.64/124,464.38
  6. Step 6: Final answer
    x = 285,715.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.