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Finding the Third Proportional to 78,963 and 163,494

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Solution

The third proportional to 78,963 and 163,494 is: 338,516.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,963 : 163,494 = 163,494 : x
  2. Step 2: Convert to fraction form
    78,963/163,494 = 163,494/x
  3. Step 3: Cross multiply
    78,963x = 163,494 × 163,494
  4. Step 4: Simplify right side
    78,963x = 26,730,288,036
  5. Step 5: Solve for x
    x = 26,730,288,036/78,963
  6. Step 6: Final answer
    x = 338,516.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.