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Finding the Third Proportional to 103,614 and 160,605

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Solution

The third proportional to 103,614 and 160,605 is: 248,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614 : 160,605 = 160,605 : x
  2. Step 2: Convert to fraction form
    103,614/160,605 = 160,605/x
  3. Step 3: Cross multiply
    103,614x = 160,605 × 160,605
  4. Step 4: Simplify right side
    103,614x = 25,793,966,025
  5. Step 5: Solve for x
    x = 25,793,966,025/103,614
  6. Step 6: Final answer
    x = 248,942.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.