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Finding the Third Proportional to 94,872 and 210,747

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Solution

The third proportional to 94,872 and 210,747 is: 468,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,872 : 210,747 = 210,747 : x
  2. Step 2: Convert to fraction form
    94,872/210,747 = 210,747/x
  3. Step 3: Cross multiply
    94,872x = 210,747 × 210,747
  4. Step 4: Simplify right side
    94,872x = 44,414,298,009
  5. Step 5: Solve for x
    x = 44,414,298,009/94,872
  6. Step 6: Final answer
    x = 468,149.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.