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Finding the Third Proportional to 59,554 and 92,211

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Solution

The third proportional to 59,554 and 92,211 is: 142,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,554 : 92,211 = 92,211 : x
  2. Step 2: Convert to fraction form
    59,554/92,211 = 92,211/x
  3. Step 3: Cross multiply
    59,554x = 92,211 × 92,211
  4. Step 4: Simplify right side
    59,554x = 8,502,868,521
  5. Step 5: Solve for x
    x = 8,502,868,521/59,554
  6. Step 6: Final answer
    x = 142,775.78

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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.