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Finding the Third Proportional to 103,612 and 160,475

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Solution

The third proportional to 103,612 and 160,475 is: 248,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,612 : 160,475 = 160,475 : x
  2. Step 2: Convert to fraction form
    103,612/160,475 = 160,475/x
  3. Step 3: Cross multiply
    103,612x = 160,475 × 160,475
  4. Step 4: Simplify right side
    103,612x = 25,752,225,625
  5. Step 5: Solve for x
    x = 25,752,225,625/103,612
  6. Step 6: Final answer
    x = 248,544.82

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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.