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Finding the Third Proportional to 42,272 and 99,968

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Solution

The third proportional to 42,272 and 99,968 is: 236,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,272 : 99,968 = 99,968 : x
  2. Step 2: Convert to fraction form
    42,272/99,968 = 99,968/x
  3. Step 3: Cross multiply
    42,272x = 99,968 × 99,968
  4. Step 4: Simplify right side
    42,272x = 9,993,601,024
  5. Step 5: Solve for x
    x = 9,993,601,024/42,272
  6. Step 6: Final answer
    x = 236,411.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.