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Finding the Third Proportional to 72,375 and 110,008

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Solution

The third proportional to 72,375 and 110,008 is: 167,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,375 : 110,008 = 110,008 : x
  2. Step 2: Convert to fraction form
    72,375/110,008 = 110,008/x
  3. Step 3: Cross multiply
    72,375x = 110,008 × 110,008
  4. Step 4: Simplify right side
    72,375x = 12,101,760,064
  5. Step 5: Solve for x
    x = 12,101,760,064/72,375
  6. Step 6: Final answer
    x = 167,209.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.