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Finding the Third Proportional to 107,985 and 160,853

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Solution

The third proportional to 107,985 and 160,853 is: 239,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,985 : 160,853 = 160,853 : x
  2. Step 2: Convert to fraction form
    107,985/160,853 = 160,853/x
  3. Step 3: Cross multiply
    107,985x = 160,853 × 160,853
  4. Step 4: Simplify right side
    107,985x = 25,873,687,609
  5. Step 5: Solve for x
    x = 25,873,687,609/107,985
  6. Step 6: Final answer
    x = 239,604.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.