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Finding the Third Proportional to 61,986.75 and 134,274

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Solution

The third proportional to 61,986.75 and 134,274 is: 290,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,986.75 : 134,274 = 134,274 : x
  2. Step 2: Convert to fraction form
    61,986.75/134,274 = 134,274/x
  3. Step 3: Cross multiply
    61,986.75x = 134,274 × 134,274
  4. Step 4: Simplify right side
    61,986.75x = 18,029,507,076
  5. Step 5: Solve for x
    x = 18,029,507,076/61,986.75
  6. Step 6: Final answer
    x = 290,860.66

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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.