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Finding the Third Proportional to 48,294 and 101,832

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Solution

The third proportional to 48,294 and 101,832 is: 214,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,294 : 101,832 = 101,832 : x
  2. Step 2: Convert to fraction form
    48,294/101,832 = 101,832/x
  3. Step 3: Cross multiply
    48,294x = 101,832 × 101,832
  4. Step 4: Simplify right side
    48,294x = 10,369,756,224
  5. Step 5: Solve for x
    x = 10,369,756,224/48,294
  6. Step 6: Final answer
    x = 214,721.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.