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Finding the Third Proportional to 52,509 and 80,706

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Solution

The third proportional to 52,509 and 80,706 is: 124,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509 : 80,706 = 80,706 : x
  2. Step 2: Convert to fraction form
    52,509/80,706 = 80,706/x
  3. Step 3: Cross multiply
    52,509x = 80,706 × 80,706
  4. Step 4: Simplify right side
    52,509x = 6,513,458,436
  5. Step 5: Solve for x
    x = 6,513,458,436/52,509
  6. Step 6: Final answer
    x = 124,044.61

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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.