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Finding the Third Proportional to 42,276 and 99,979

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Solution

The third proportional to 42,276 and 99,979 is: 236,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,276 : 99,979 = 99,979 : x
  2. Step 2: Convert to fraction form
    42,276/99,979 = 99,979/x
  3. Step 3: Cross multiply
    42,276x = 99,979 × 99,979
  4. Step 4: Simplify right side
    42,276x = 9,995,800,441
  5. Step 5: Solve for x
    x = 9,995,800,441/42,276
  6. Step 6: Final answer
    x = 236,441.49

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