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Finding the Third Proportional to 52,839 and 114,486

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Solution

The third proportional to 52,839 and 114,486 is: 248,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,839 : 114,486 = 114,486 : x
  2. Step 2: Convert to fraction form
    52,839/114,486 = 114,486/x
  3. Step 3: Cross multiply
    52,839x = 114,486 × 114,486
  4. Step 4: Simplify right side
    52,839x = 13,107,044,196
  5. Step 5: Solve for x
    x = 13,107,044,196/52,839
  6. Step 6: Final answer
    x = 248,056.25

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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.