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Finding the Third Proportional to 60,367.46 and 131,114.64

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Solution

The third proportional to 60,367.46 and 131,114.64 is: 284,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,367.46 : 131,114.64 = 131,114.64 : x
  2. Step 2: Convert to fraction form
    60,367.46/131,114.64 = 131,114.64/x
  3. Step 3: Cross multiply
    60,367.46x = 131,114.64 × 131,114.64
  4. Step 4: Simplify right side
    60,367.46x = 17,191,047,961.89
  5. Step 5: Solve for x
    x = 17,191,047,961.89/60,367.46
  6. Step 6: Final answer
    x = 284,773.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.