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Finding the Third Proportional to 61,683.75 and 92,274.75

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Solution

The third proportional to 61,683.75 and 92,274.75 is: 138,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,683.75 : 92,274.75 = 92,274.75 : x
  2. Step 2: Convert to fraction form
    61,683.75/92,274.75 = 92,274.75/x
  3. Step 3: Cross multiply
    61,683.75x = 92,274.75 × 92,274.75
  4. Step 4: Simplify right side
    61,683.75x = 8,514,629,487.56
  5. Step 5: Solve for x
    x = 8,514,629,487.56/61,683.75
  6. Step 6: Final answer
    x = 138,036.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.