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Finding the Third Proportional to 61,197 and 86,173.50

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Solution

The third proportional to 61,197 and 86,173.50 is: 121,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,197 : 86,173.50 = 86,173.50 : x
  2. Step 2: Convert to fraction form
    61,197/86,173.50 = 86,173.50/x
  3. Step 3: Cross multiply
    61,197x = 86,173.50 × 86,173.50
  4. Step 4: Simplify right side
    61,197x = 7,425,872,102.25
  5. Step 5: Solve for x
    x = 7,425,872,102.25/61,197
  6. Step 6: Final answer
    x = 121,343.73

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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.