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Finding the Third Proportional to 57,412.13 and 121,773.38

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Solution

The third proportional to 57,412.13 and 121,773.38 is: 258,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412.13 : 121,773.38 = 121,773.38 : x
  2. Step 2: Convert to fraction form
    57,412.13/121,773.38 = 121,773.38/x
  3. Step 3: Cross multiply
    57,412.13x = 121,773.38 × 121,773.38
  4. Step 4: Simplify right side
    57,412.13x = 14,828,754,858.89
  5. Step 5: Solve for x
    x = 14,828,754,858.89/57,412.13
  6. Step 6: Final answer
    x = 258,286.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.