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Finding the Third Proportional to 77,492 and 119,166

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Solution

The third proportional to 77,492 and 119,166 is: 183,251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,492 : 119,166 = 119,166 : x
  2. Step 2: Convert to fraction form
    77,492/119,166 = 119,166/x
  3. Step 3: Cross multiply
    77,492x = 119,166 × 119,166
  4. Step 4: Simplify right side
    77,492x = 14,200,535,556
  5. Step 5: Solve for x
    x = 14,200,535,556/77,492
  6. Step 6: Final answer
    x = 183,251.63

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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.