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Finding the Third Proportional to 77,790 and 120,140

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Solution

The third proportional to 77,790 and 120,140 is: 185,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,790 : 120,140 = 120,140 : x
  2. Step 2: Convert to fraction form
    77,790/120,140 = 120,140/x
  3. Step 3: Cross multiply
    77,790x = 120,140 × 120,140
  4. Step 4: Simplify right side
    77,790x = 14,433,619,600
  5. Step 5: Solve for x
    x = 14,433,619,600/77,790
  6. Step 6: Final answer
    x = 185,545.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.