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Finding the Third Proportional to 72,325.13 and 108,416.25

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Solution

The third proportional to 72,325.13 and 108,416.25 is: 162,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,325.13 : 108,416.25 = 108,416.25 : x
  2. Step 2: Convert to fraction form
    72,325.13/108,416.25 = 108,416.25/x
  3. Step 3: Cross multiply
    72,325.13x = 108,416.25 × 108,416.25
  4. Step 4: Simplify right side
    72,325.13x = 11,754,083,264.06
  5. Step 5: Solve for x
    x = 11,754,083,264.06/72,325.13
  6. Step 6: Final answer
    x = 162,517.29

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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.