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Finding the Third Proportional to 52,648 and 114,044

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Solution

The third proportional to 52,648 and 114,044 is: 247,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,648 : 114,044 = 114,044 : x
  2. Step 2: Convert to fraction form
    52,648/114,044 = 114,044/x
  3. Step 3: Cross multiply
    52,648x = 114,044 × 114,044
  4. Step 4: Simplify right side
    52,648x = 13,006,033,936
  5. Step 5: Solve for x
    x = 13,006,033,936/52,648
  6. Step 6: Final answer
    x = 247,037.57

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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.