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Finding the Third Proportional to 77,848 and 120,418

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Solution

The third proportional to 77,848 and 120,418 is: 186,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,848 : 120,418 = 120,418 : x
  2. Step 2: Convert to fraction form
    77,848/120,418 = 120,418/x
  3. Step 3: Cross multiply
    77,848x = 120,418 × 120,418
  4. Step 4: Simplify right side
    77,848x = 14,500,494,724
  5. Step 5: Solve for x
    x = 14,500,494,724/77,848
  6. Step 6: Final answer
    x = 186,266.76

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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.