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Finding the Third Proportional to 55,961.50 and 121,762

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Solution

The third proportional to 55,961.50 and 121,762 is: 264,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,961.50 : 121,762 = 121,762 : x
  2. Step 2: Convert to fraction form
    55,961.50/121,762 = 121,762/x
  3. Step 3: Cross multiply
    55,961.50x = 121,762 × 121,762
  4. Step 4: Simplify right side
    55,961.50x = 14,825,984,644
  5. Step 5: Solve for x
    x = 14,825,984,644/55,961.50
  6. Step 6: Final answer
    x = 264,931.87

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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.