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Finding the Third Proportional to 48,222 and 70,449

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Solution

The third proportional to 48,222 and 70,449 is: 102,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,222 : 70,449 = 70,449 : x
  2. Step 2: Convert to fraction form
    48,222/70,449 = 70,449/x
  3. Step 3: Cross multiply
    48,222x = 70,449 × 70,449
  4. Step 4: Simplify right side
    48,222x = 4,963,061,601
  5. Step 5: Solve for x
    x = 4,963,061,601/48,222
  6. Step 6: Final answer
    x = 102,921.11

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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.