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Finding the Third Proportional to 61,007.50 and 92,686

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Solution

The third proportional to 61,007.50 and 92,686 is: 140,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,007.50 : 92,686 = 92,686 : x
  2. Step 2: Convert to fraction form
    61,007.50/92,686 = 92,686/x
  3. Step 3: Cross multiply
    61,007.50x = 92,686 × 92,686
  4. Step 4: Simplify right side
    61,007.50x = 8,590,694,596
  5. Step 5: Solve for x
    x = 8,590,694,596/61,007.50
  6. Step 6: Final answer
    x = 140,813.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.