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Finding the Third Proportional to 34,514 and 75,346

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Solution

The third proportional to 34,514 and 75,346 is: 164,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514 : 75,346 = 75,346 : x
  2. Step 2: Convert to fraction form
    34,514/75,346 = 75,346/x
  3. Step 3: Cross multiply
    34,514x = 75,346 × 75,346
  4. Step 4: Simplify right side
    34,514x = 5,677,019,716
  5. Step 5: Solve for x
    x = 5,677,019,716/34,514
  6. Step 6: Final answer
    x = 164,484.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.