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Finding the Third Proportional to 72,351 and 110,610

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Solution

The third proportional to 72,351 and 110,610 is: 169,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,351 : 110,610 = 110,610 : x
  2. Step 2: Convert to fraction form
    72,351/110,610 = 110,610/x
  3. Step 3: Cross multiply
    72,351x = 110,610 × 110,610
  4. Step 4: Simplify right side
    72,351x = 12,234,572,100
  5. Step 5: Solve for x
    x = 12,234,572,100/72,351
  6. Step 6: Final answer
    x = 169,100.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.