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Finding the Third Proportional to 55,289 and 83,211

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Solution

The third proportional to 55,289 and 83,211 is: 125,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,289 : 83,211 = 83,211 : x
  2. Step 2: Convert to fraction form
    55,289/83,211 = 83,211/x
  3. Step 3: Cross multiply
    55,289x = 83,211 × 83,211
  4. Step 4: Simplify right side
    55,289x = 6,924,070,521
  5. Step 5: Solve for x
    x = 6,924,070,521/55,289
  6. Step 6: Final answer
    x = 125,234.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.