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Finding the Third Proportional to 119,113.75 and 261,842

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Solution

The third proportional to 119,113.75 and 261,842 is: 575,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,113.75 : 261,842 = 261,842 : x
  2. Step 2: Convert to fraction form
    119,113.75/261,842 = 261,842/x
  3. Step 3: Cross multiply
    119,113.75x = 261,842 × 261,842
  4. Step 4: Simplify right side
    119,113.75x = 68,561,232,964
  5. Step 5: Solve for x
    x = 68,561,232,964/119,113.75
  6. Step 6: Final answer
    x = 575,594.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.