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Finding the Third Proportional to 75,910 and 113,514

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Solution

The third proportional to 75,910 and 113,514 is: 169,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,910 : 113,514 = 113,514 : x
  2. Step 2: Convert to fraction form
    75,910/113,514 = 113,514/x
  3. Step 3: Cross multiply
    75,910x = 113,514 × 113,514
  4. Step 4: Simplify right side
    75,910x = 12,885,428,196
  5. Step 5: Solve for x
    x = 12,885,428,196/75,910
  6. Step 6: Final answer
    x = 169,746.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.