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Finding the Third Proportional to 55,758.38 and 121,672.13

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Solution

The third proportional to 55,758.38 and 121,672.13 is: 265,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758.38 : 121,672.13 = 121,672.13 : x
  2. Step 2: Convert to fraction form
    55,758.38/121,672.13 = 121,672.13/x
  3. Step 3: Cross multiply
    55,758.38x = 121,672.13 × 121,672.13
  4. Step 4: Simplify right side
    55,758.38x = 14,804,106,002.02
  5. Step 5: Solve for x
    x = 14,804,106,002.02/55,758.38
  6. Step 6: Final answer
    x = 265,504.62

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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.