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Finding the Third Proportional to 72,344 and 108,440

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Solution

The third proportional to 72,344 and 108,440 is: 162,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,344 : 108,440 = 108,440 : x
  2. Step 2: Convert to fraction form
    72,344/108,440 = 108,440/x
  3. Step 3: Cross multiply
    72,344x = 108,440 × 108,440
  4. Step 4: Simplify right side
    72,344x = 11,759,233,600
  5. Step 5: Solve for x
    x = 11,759,233,600/72,344
  6. Step 6: Final answer
    x = 162,546.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.