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Finding the Third Proportional to 105,387 and 248,771

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Solution

The third proportional to 105,387 and 248,771 is: 587,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,387 : 248,771 = 248,771 : x
  2. Step 2: Convert to fraction form
    105,387/248,771 = 248,771/x
  3. Step 3: Cross multiply
    105,387x = 248,771 × 248,771
  4. Step 4: Simplify right side
    105,387x = 61,887,010,441
  5. Step 5: Solve for x
    x = 61,887,010,441/105,387
  6. Step 6: Final answer
    x = 587,235.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.