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Finding the Third Proportional to 77,885 and 120,276

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Solution

The third proportional to 77,885 and 120,276 is: 185,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,885 : 120,276 = 120,276 : x
  2. Step 2: Convert to fraction form
    77,885/120,276 = 120,276/x
  3. Step 3: Cross multiply
    77,885x = 120,276 × 120,276
  4. Step 4: Simplify right side
    77,885x = 14,466,316,176
  5. Step 5: Solve for x
    x = 14,466,316,176/77,885
  6. Step 6: Final answer
    x = 185,739.44

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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.