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Finding the Third Proportional to 75,904 and 113,432

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Solution

The third proportional to 75,904 and 113,432 is: 169,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,904 : 113,432 = 113,432 : x
  2. Step 2: Convert to fraction form
    75,904/113,432 = 113,432/x
  3. Step 3: Cross multiply
    75,904x = 113,432 × 113,432
  4. Step 4: Simplify right side
    75,904x = 12,866,818,624
  5. Step 5: Solve for x
    x = 12,866,818,624/75,904
  6. Step 6: Final answer
    x = 169,514.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.