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Finding the Third Proportional to 34,366 and 75,292

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Solution

The third proportional to 34,366 and 75,292 is: 164,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,366 : 75,292 = 75,292 : x
  2. Step 2: Convert to fraction form
    34,366/75,292 = 75,292/x
  3. Step 3: Cross multiply
    34,366x = 75,292 × 75,292
  4. Step 4: Simplify right side
    34,366x = 5,668,885,264
  5. Step 5: Solve for x
    x = 5,668,885,264/34,366
  6. Step 6: Final answer
    x = 164,956.21

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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.