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Finding the Third Proportional to 49,040 and 107,432

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Solution

The third proportional to 49,040 and 107,432 is: 235,351.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,040 : 107,432 = 107,432 : x
  2. Step 2: Convert to fraction form
    49,040/107,432 = 107,432/x
  3. Step 3: Cross multiply
    49,040x = 107,432 × 107,432
  4. Step 4: Simplify right side
    49,040x = 11,541,634,624
  5. Step 5: Solve for x
    x = 11,541,634,624/49,040
  6. Step 6: Final answer
    x = 235,351.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.