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Finding the Third Proportional to 72,814.50 and 97,785.56

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Solution

The third proportional to 72,814.50 and 97,785.56 is: 131,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,814.50 : 97,785.56 = 97,785.56 : x
  2. Step 2: Convert to fraction form
    72,814.50/97,785.56 = 97,785.56/x
  3. Step 3: Cross multiply
    72,814.50x = 97,785.56 × 97,785.56
  4. Step 4: Simplify right side
    72,814.50x = 9,562,016,233.44
  5. Step 5: Solve for x
    x = 9,562,016,233.44/72,814.50
  6. Step 6: Final answer
    x = 131,320.22

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.