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Finding the Third Proportional to 34,350 and 75,342

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Solution

The third proportional to 34,350 and 75,342 is: 165,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,350 : 75,342 = 75,342 : x
  2. Step 2: Convert to fraction form
    34,350/75,342 = 75,342/x
  3. Step 3: Cross multiply
    34,350x = 75,342 × 75,342
  4. Step 4: Simplify right side
    34,350x = 5,676,416,964
  5. Step 5: Solve for x
    x = 5,676,416,964/34,350
  6. Step 6: Final answer
    x = 165,252.31

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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.