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Finding the Third Proportional to 61,904.25 and 134,682.75

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Solution

The third proportional to 61,904.25 and 134,682.75 is: 293,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,904.25 : 134,682.75 = 134,682.75 : x
  2. Step 2: Convert to fraction form
    61,904.25/134,682.75 = 134,682.75/x
  3. Step 3: Cross multiply
    61,904.25x = 134,682.75 × 134,682.75
  4. Step 4: Simplify right side
    61,904.25x = 18,139,443,147.56
  5. Step 5: Solve for x
    x = 18,139,443,147.56/61,904.25
  6. Step 6: Final answer
    x = 293,024.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.