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Finding the Third Proportional to 52,207 and 80,855

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Solution

The third proportional to 52,207 and 80,855 is: 125,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,207 : 80,855 = 80,855 : x
  2. Step 2: Convert to fraction form
    52,207/80,855 = 80,855/x
  3. Step 3: Cross multiply
    52,207x = 80,855 × 80,855
  4. Step 4: Simplify right side
    52,207x = 6,537,531,025
  5. Step 5: Solve for x
    x = 6,537,531,025/52,207
  6. Step 6: Final answer
    x = 125,223.27

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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.