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Finding the Third Proportional to 56,769 and 121,694

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Solution

The third proportional to 56,769 and 121,694 is: 260,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,769 : 121,694 = 121,694 : x
  2. Step 2: Convert to fraction form
    56,769/121,694 = 121,694/x
  3. Step 3: Cross multiply
    56,769x = 121,694 × 121,694
  4. Step 4: Simplify right side
    56,769x = 14,809,429,636
  5. Step 5: Solve for x
    x = 14,809,429,636/56,769
  6. Step 6: Final answer
    x = 260,871.77

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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.