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Finding the Third Proportional to 77,742 and 120,048

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Solution

The third proportional to 77,742 and 120,048 is: 185,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742 : 120,048 = 120,048 : x
  2. Step 2: Convert to fraction form
    77,742/120,048 = 120,048/x
  3. Step 3: Cross multiply
    77,742x = 120,048 × 120,048
  4. Step 4: Simplify right side
    77,742x = 14,411,522,304
  5. Step 5: Solve for x
    x = 14,411,522,304/77,742
  6. Step 6: Final answer
    x = 185,376.27

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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.