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Finding the Third Proportional to 61,261.50 and 92,816

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Solution

The third proportional to 61,261.50 and 92,816 is: 140,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,261.50 : 92,816 = 92,816 : x
  2. Step 2: Convert to fraction form
    61,261.50/92,816 = 92,816/x
  3. Step 3: Cross multiply
    61,261.50x = 92,816 × 92,816
  4. Step 4: Simplify right side
    61,261.50x = 8,614,809,856
  5. Step 5: Solve for x
    x = 8,614,809,856/61,261.50
  6. Step 6: Final answer
    x = 140,623.55

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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.