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Finding the Third Proportional to 52,508.25 and 80,706.38

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Solution

The third proportional to 52,508.25 and 80,706.38 is: 124,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508.25 : 80,706.38 = 80,706.38 : x
  2. Step 2: Convert to fraction form
    52,508.25/80,706.38 = 80,706.38/x
  3. Step 3: Cross multiply
    52,508.25x = 80,706.38 × 80,706.38
  4. Step 4: Simplify right side
    52,508.25x = 6,513,518,965.64
  5. Step 5: Solve for x
    x = 6,513,518,965.64/52,508.25
  6. Step 6: Final answer
    x = 124,047.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.