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Finding the Third Proportional to 41,968 and 88,272

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Solution

The third proportional to 41,968 and 88,272 is: 185,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,968 : 88,272 = 88,272 : x
  2. Step 2: Convert to fraction form
    41,968/88,272 = 88,272/x
  3. Step 3: Cross multiply
    41,968x = 88,272 × 88,272
  4. Step 4: Simplify right side
    41,968x = 7,791,945,984
  5. Step 5: Solve for x
    x = 7,791,945,984/41,968
  6. Step 6: Final answer
    x = 185,663.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.