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Finding the Third Proportional to 115,916 and 247,143

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Solution

The third proportional to 115,916 and 247,143 is: 526,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,916 : 247,143 = 247,143 : x
  2. Step 2: Convert to fraction form
    115,916/247,143 = 247,143/x
  3. Step 3: Cross multiply
    115,916x = 247,143 × 247,143
  4. Step 4: Simplify right side
    115,916x = 61,079,662,449
  5. Step 5: Solve for x
    x = 61,079,662,449/115,916
  6. Step 6: Final answer
    x = 526,930.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.