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Finding the Third Proportional to 40,246 and 94,890

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Solution

The third proportional to 40,246 and 94,890 is: 223,726.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,246 : 94,890 = 94,890 : x
  2. Step 2: Convert to fraction form
    40,246/94,890 = 94,890/x
  3. Step 3: Cross multiply
    40,246x = 94,890 × 94,890
  4. Step 4: Simplify right side
    40,246x = 9,004,112,100
  5. Step 5: Solve for x
    x = 9,004,112,100/40,246
  6. Step 6: Final answer
    x = 223,726.88

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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.