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Finding the Third Proportional to 57,716.30 and 141,369.05

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Solution

The third proportional to 57,716.30 and 141,369.05 is: 346,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,716.30 : 141,369.05 = 141,369.05 : x
  2. Step 2: Convert to fraction form
    57,716.30/141,369.05 = 141,369.05/x
  3. Step 3: Cross multiply
    57,716.30x = 141,369.05 × 141,369.05
  4. Step 4: Simplify right side
    57,716.30x = 19,985,207,414.35
  5. Step 5: Solve for x
    x = 19,985,207,414.35/57,716.30
  6. Step 6: Final answer
    x = 346,266.28

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.