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Finding the Third Proportional to 119,539 and 260,107

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Solution

The third proportional to 119,539 and 260,107 is: 565,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,539 : 260,107 = 260,107 : x
  2. Step 2: Convert to fraction form
    119,539/260,107 = 260,107/x
  3. Step 3: Cross multiply
    119,539x = 260,107 × 260,107
  4. Step 4: Simplify right side
    119,539x = 67,655,651,449
  5. Step 5: Solve for x
    x = 67,655,651,449/119,539
  6. Step 6: Final answer
    x = 565,971.37

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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.