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Finding the Third Proportional to 106,449 and 160,118

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Solution

The third proportional to 106,449 and 160,118 is: 240,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,449 : 160,118 = 160,118 : x
  2. Step 2: Convert to fraction form
    106,449/160,118 = 160,118/x
  3. Step 3: Cross multiply
    106,449x = 160,118 × 160,118
  4. Step 4: Simplify right side
    106,449x = 25,637,773,924
  5. Step 5: Solve for x
    x = 25,637,773,924/106,449
  6. Step 6: Final answer
    x = 240,845.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.