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Finding the Third Proportional to 113,186 and 247,972

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Solution

The third proportional to 113,186 and 247,972 is: 543,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,186 : 247,972 = 247,972 : x
  2. Step 2: Convert to fraction form
    113,186/247,972 = 247,972/x
  3. Step 3: Cross multiply
    113,186x = 247,972 × 247,972
  4. Step 4: Simplify right side
    113,186x = 61,490,112,784
  5. Step 5: Solve for x
    x = 61,490,112,784/113,186
  6. Step 6: Final answer
    x = 543,266.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.