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Finding the Third Proportional to 61,268 and 130,850

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Solution

The third proportional to 61,268 and 130,850 is: 279,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,268 : 130,850 = 130,850 : x
  2. Step 2: Convert to fraction form
    61,268/130,850 = 130,850/x
  3. Step 3: Cross multiply
    61,268x = 130,850 × 130,850
  4. Step 4: Simplify right side
    61,268x = 17,121,722,500
  5. Step 5: Solve for x
    x = 17,121,722,500/61,268
  6. Step 6: Final answer
    x = 279,456.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.