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Finding the Third Proportional to 119,920 and 175,992

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Solution

The third proportional to 119,920 and 175,992 is: 258,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,920 : 175,992 = 175,992 : x
  2. Step 2: Convert to fraction form
    119,920/175,992 = 175,992/x
  3. Step 3: Cross multiply
    119,920x = 175,992 × 175,992
  4. Step 4: Simplify right side
    119,920x = 30,973,184,064
  5. Step 5: Solve for x
    x = 30,973,184,064/119,920
  6. Step 6: Final answer
    x = 258,282.06

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.