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Finding the Third Proportional to 55,836.84 and 121,708.83

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Solution

The third proportional to 55,836.84 and 121,708.83 is: 265,291.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,836.84 : 121,708.83 = 121,708.83 : x
  2. Step 2: Convert to fraction form
    55,836.84/121,708.83 = 121,708.83/x
  3. Step 3: Cross multiply
    55,836.84x = 121,708.83 × 121,708.83
  4. Step 4: Simplify right side
    55,836.84x = 14,813,038,843.56
  5. Step 5: Solve for x
    x = 14,813,038,843.56/55,836.84
  6. Step 6: Final answer
    x = 265,291.48

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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.