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Finding the Third Proportional to 34,464 and 75,246

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Solution

The third proportional to 34,464 and 75,246 is: 164,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,464 : 75,246 = 75,246 : x
  2. Step 2: Convert to fraction form
    34,464/75,246 = 75,246/x
  3. Step 3: Cross multiply
    34,464x = 75,246 × 75,246
  4. Step 4: Simplify right side
    34,464x = 5,661,960,516
  5. Step 5: Solve for x
    x = 5,661,960,516/34,464
  6. Step 6: Final answer
    x = 164,286.23

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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.