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Finding the Third Proportional to 52,675 and 114,817

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Solution

The third proportional to 52,675 and 114,817 is: 250,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,675 : 114,817 = 114,817 : x
  2. Step 2: Convert to fraction form
    52,675/114,817 = 114,817/x
  3. Step 3: Cross multiply
    52,675x = 114,817 × 114,817
  4. Step 4: Simplify right side
    52,675x = 13,182,943,489
  5. Step 5: Solve for x
    x = 13,182,943,489/52,675
  6. Step 6: Final answer
    x = 250,269.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.