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Finding the Third Proportional to 52,575 and 113,898

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Solution

The third proportional to 52,575 and 113,898 is: 246,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,575 : 113,898 = 113,898 : x
  2. Step 2: Convert to fraction form
    52,575/113,898 = 113,898/x
  3. Step 3: Cross multiply
    52,575x = 113,898 × 113,898
  4. Step 4: Simplify right side
    52,575x = 12,972,754,404
  5. Step 5: Solve for x
    x = 12,972,754,404/52,575
  6. Step 6: Final answer
    x = 246,747.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.