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Finding the Third Proportional to 44,502 and 103,479

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Solution

The third proportional to 44,502 and 103,479 is: 240,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,502 : 103,479 = 103,479 : x
  2. Step 2: Convert to fraction form
    44,502/103,479 = 103,479/x
  3. Step 3: Cross multiply
    44,502x = 103,479 × 103,479
  4. Step 4: Simplify right side
    44,502x = 10,707,903,441
  5. Step 5: Solve for x
    x = 10,707,903,441/44,502
  6. Step 6: Final answer
    x = 240,616.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.