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Finding the Third Proportional to 61,314.75 and 86,766.75

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Solution

The third proportional to 61,314.75 and 86,766.75 is: 122,783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,314.75 : 86,766.75 = 86,766.75 : x
  2. Step 2: Convert to fraction form
    61,314.75/86,766.75 = 86,766.75/x
  3. Step 3: Cross multiply
    61,314.75x = 86,766.75 × 86,766.75
  4. Step 4: Simplify right side
    61,314.75x = 7,528,468,905.56
  5. Step 5: Solve for x
    x = 7,528,468,905.56/61,314.75
  6. Step 6: Final answer
    x = 122,783.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.