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Finding the Third Proportional to 48,159 and 103,486

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Solution

The third proportional to 48,159 and 103,486 is: 222,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,159 : 103,486 = 103,486 : x
  2. Step 2: Convert to fraction form
    48,159/103,486 = 103,486/x
  3. Step 3: Cross multiply
    48,159x = 103,486 × 103,486
  4. Step 4: Simplify right side
    48,159x = 10,709,352,196
  5. Step 5: Solve for x
    x = 10,709,352,196/48,159
  6. Step 6: Final answer
    x = 222,374.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.