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Finding the Third Proportional to 107,059 and 160,587

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Solution

The third proportional to 107,059 and 160,587 is: 240,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,059 : 160,587 = 160,587 : x
  2. Step 2: Convert to fraction form
    107,059/160,587 = 160,587/x
  3. Step 3: Cross multiply
    107,059x = 160,587 × 160,587
  4. Step 4: Simplify right side
    107,059x = 25,788,184,569
  5. Step 5: Solve for x
    x = 25,788,184,569/107,059
  6. Step 6: Final answer
    x = 240,878.25

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Why These Related Problems?

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