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Finding the Third Proportional to 61,713.56 and 92,166.75

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Solution

The third proportional to 61,713.56 and 92,166.75 is: 137,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713.56 : 92,166.75 = 92,166.75 : x
  2. Step 2: Convert to fraction form
    61,713.56/92,166.75 = 92,166.75/x
  3. Step 3: Cross multiply
    61,713.56x = 92,166.75 × 92,166.75
  4. Step 4: Simplify right side
    61,713.56x = 8,494,709,805.56
  5. Step 5: Solve for x
    x = 8,494,709,805.56/61,713.56
  6. Step 6: Final answer
    x = 137,647.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.