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Finding the Third Proportional to 61,179 and 86,155.50

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Solution

The third proportional to 61,179 and 86,155.50 is: 121,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,179 : 86,155.50 = 86,155.50 : x
  2. Step 2: Convert to fraction form
    61,179/86,155.50 = 86,155.50/x
  3. Step 3: Cross multiply
    61,179x = 86,155.50 × 86,155.50
  4. Step 4: Simplify right side
    61,179x = 7,422,770,180.25
  5. Step 5: Solve for x
    x = 7,422,770,180.25/61,179
  6. Step 6: Final answer
    x = 121,328.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.