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Finding the Third Proportional to 48,048 and 98,468

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Solution

The third proportional to 48,048 and 98,468 is: 201,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048 : 98,468 = 98,468 : x
  2. Step 2: Convert to fraction form
    48,048/98,468 = 98,468/x
  3. Step 3: Cross multiply
    48,048x = 98,468 × 98,468
  4. Step 4: Simplify right side
    48,048x = 9,695,947,024
  5. Step 5: Solve for x
    x = 9,695,947,024/48,048
  6. Step 6: Final answer
    x = 201,797.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.