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Finding the Third Proportional to 61,411 and 130,204

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Solution

The third proportional to 61,411 and 130,204 is: 276,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,411 : 130,204 = 130,204 : x
  2. Step 2: Convert to fraction form
    61,411/130,204 = 130,204/x
  3. Step 3: Cross multiply
    61,411x = 130,204 × 130,204
  4. Step 4: Simplify right side
    61,411x = 16,953,081,616
  5. Step 5: Solve for x
    x = 16,953,081,616/61,411
  6. Step 6: Final answer
    x = 276,059.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.