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Finding the Third Proportional to 48,769 and 106,468

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Solution

The third proportional to 48,769 and 106,468 is: 232,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,769 : 106,468 = 106,468 : x
  2. Step 2: Convert to fraction form
    48,769/106,468 = 106,468/x
  3. Step 3: Cross multiply
    48,769x = 106,468 × 106,468
  4. Step 4: Simplify right side
    48,769x = 11,335,435,024
  5. Step 5: Solve for x
    x = 11,335,435,024/48,769
  6. Step 6: Final answer
    x = 232,431.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.