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Finding the Third Proportional to 107,588 and 160,566

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Solution

The third proportional to 107,588 and 160,566 is: 239,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,588 : 160,566 = 160,566 : x
  2. Step 2: Convert to fraction form
    107,588/160,566 = 160,566/x
  3. Step 3: Cross multiply
    107,588x = 160,566 × 160,566
  4. Step 4: Simplify right side
    107,588x = 25,781,440,356
  5. Step 5: Solve for x
    x = 25,781,440,356/107,588
  6. Step 6: Final answer
    x = 239,631.19

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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.