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Finding the Third Proportional to 52,899 and 113,076.38

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Solution

The third proportional to 52,899 and 113,076.38 is: 241,710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,899 : 113,076.38 = 113,076.38 : x
  2. Step 2: Convert to fraction form
    52,899/113,076.38 = 113,076.38/x
  3. Step 3: Cross multiply
    52,899x = 113,076.38 × 113,076.38
  4. Step 4: Simplify right side
    52,899x = 12,786,266,583.14
  5. Step 5: Solve for x
    x = 12,786,266,583.14/52,899
  6. Step 6: Final answer
    x = 241,710.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.