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Finding the Third Proportional to 42,274.13 and 99,974.25

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Solution

The third proportional to 42,274.13 and 99,974.25 is: 236,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,274.13 : 99,974.25 = 99,974.25 : x
  2. Step 2: Convert to fraction form
    42,274.13/99,974.25 = 99,974.25/x
  3. Step 3: Cross multiply
    42,274.13x = 99,974.25 × 99,974.25
  4. Step 4: Simplify right side
    42,274.13x = 9,994,850,663.06
  5. Step 5: Solve for x
    x = 9,994,850,663.06/42,274.13
  6. Step 6: Final answer
    x = 236,429.51

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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.