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Finding the Third Proportional to 42,431.38 and 88,349

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Solution

The third proportional to 42,431.38 and 88,349 is: 183,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,431.38 : 88,349 = 88,349 : x
  2. Step 2: Convert to fraction form
    42,431.38/88,349 = 88,349/x
  3. Step 3: Cross multiply
    42,431.38x = 88,349 × 88,349
  4. Step 4: Simplify right side
    42,431.38x = 7,805,545,801
  5. Step 5: Solve for x
    x = 7,805,545,801/42,431.38
  6. Step 6: Final answer
    x = 183,956.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.