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Finding the Third Proportional to 48,780 and 71,306

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Solution

The third proportional to 48,780 and 71,306 is: 104,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,780 : 71,306 = 71,306 : x
  2. Step 2: Convert to fraction form
    48,780/71,306 = 71,306/x
  3. Step 3: Cross multiply
    48,780x = 71,306 × 71,306
  4. Step 4: Simplify right side
    48,780x = 5,084,545,636
  5. Step 5: Solve for x
    x = 5,084,545,636/48,780
  6. Step 6: Final answer
    x = 104,234.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.