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Finding the Third Proportional to 72,997 and 95,851.50

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Solution

The third proportional to 72,997 and 95,851.50 is: 125,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,997 : 95,851.50 = 95,851.50 : x
  2. Step 2: Convert to fraction form
    72,997/95,851.50 = 95,851.50/x
  3. Step 3: Cross multiply
    72,997x = 95,851.50 × 95,851.50
  4. Step 4: Simplify right side
    72,997x = 9,187,510,052.25
  5. Step 5: Solve for x
    x = 9,187,510,052.25/72,997
  6. Step 6: Final answer
    x = 125,861.47

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.