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Finding the Third Proportional to 61,252 and 89,211

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Solution

The third proportional to 61,252 and 89,211 is: 129,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,252 : 89,211 = 89,211 : x
  2. Step 2: Convert to fraction form
    61,252/89,211 = 89,211/x
  3. Step 3: Cross multiply
    61,252x = 89,211 × 89,211
  4. Step 4: Simplify right side
    61,252x = 7,958,602,521
  5. Step 5: Solve for x
    x = 7,958,602,521/61,252
  6. Step 6: Final answer
    x = 129,932.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.