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Finding the Third Proportional to 55,429.31 and 121,588.38

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Solution

The third proportional to 55,429.31 and 121,588.38 is: 266,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,429.31 : 121,588.38 = 121,588.38 : x
  2. Step 2: Convert to fraction form
    55,429.31/121,588.38 = 121,588.38/x
  3. Step 3: Cross multiply
    55,429.31x = 121,588.38 × 121,588.38
  4. Step 4: Simplify right side
    55,429.31x = 14,783,734,834.96
  5. Step 5: Solve for x
    x = 14,783,734,834.96/55,429.31
  6. Step 6: Final answer
    x = 266,713.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.