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Finding the Third Proportional to 76,963 and 165,442

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Solution

The third proportional to 76,963 and 165,442 is: 355,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963 : 165,442 = 165,442 : x
  2. Step 2: Convert to fraction form
    76,963/165,442 = 165,442/x
  3. Step 3: Cross multiply
    76,963x = 165,442 × 165,442
  4. Step 4: Simplify right side
    76,963x = 27,371,055,364
  5. Step 5: Solve for x
    x = 27,371,055,364/76,963
  6. Step 6: Final answer
    x = 355,639.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.