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Finding the Third Proportional to 113,848 and 182,924

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Solution

The third proportional to 113,848 and 182,924 is: 293,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,848 : 182,924 = 182,924 : x
  2. Step 2: Convert to fraction form
    113,848/182,924 = 182,924/x
  3. Step 3: Cross multiply
    113,848x = 182,924 × 182,924
  4. Step 4: Simplify right side
    113,848x = 33,461,189,776
  5. Step 5: Solve for x
    x = 33,461,189,776/113,848
  6. Step 6: Final answer
    x = 293,911.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.