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Finding the Third Proportional to 35,514 and 75,407

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Solution

The third proportional to 35,514 and 75,407 is: 160,111.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,514 : 75,407 = 75,407 : x
  2. Step 2: Convert to fraction form
    35,514/75,407 = 75,407/x
  3. Step 3: Cross multiply
    35,514x = 75,407 × 75,407
  4. Step 4: Simplify right side
    35,514x = 5,686,215,649
  5. Step 5: Solve for x
    x = 5,686,215,649/35,514
  6. Step 6: Final answer
    x = 160,111.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.