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Finding the Third Proportional to 55,939 and 78,211

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Solution

The third proportional to 55,939 and 78,211 is: 109,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,939 : 78,211 = 78,211 : x
  2. Step 2: Convert to fraction form
    55,939/78,211 = 78,211/x
  3. Step 3: Cross multiply
    55,939x = 78,211 × 78,211
  4. Step 4: Simplify right side
    55,939x = 6,116,960,521
  5. Step 5: Solve for x
    x = 6,116,960,521/55,939
  6. Step 6: Final answer
    x = 109,350.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.