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Finding the Third Proportional to 77,764 and 120,642

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Solution

The third proportional to 77,764 and 120,642 is: 187,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,764 : 120,642 = 120,642 : x
  2. Step 2: Convert to fraction form
    77,764/120,642 = 120,642/x
  3. Step 3: Cross multiply
    77,764x = 120,642 × 120,642
  4. Step 4: Simplify right side
    77,764x = 14,554,492,164
  5. Step 5: Solve for x
    x = 14,554,492,164/77,764
  6. Step 6: Final answer
    x = 187,162.34

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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.