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Finding the Third Proportional to 52,160 and 80,800

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Solution

The third proportional to 52,160 and 80,800 is: 125,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160 : 80,800 = 80,800 : x
  2. Step 2: Convert to fraction form
    52,160/80,800 = 80,800/x
  3. Step 3: Cross multiply
    52,160x = 80,800 × 80,800
  4. Step 4: Simplify right side
    52,160x = 6,528,640,000
  5. Step 5: Solve for x
    x = 6,528,640,000/52,160
  6. Step 6: Final answer
    x = 125,165.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.