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Finding the Third Proportional to 90,076 and 196,006

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Solution

The third proportional to 90,076 and 196,006 is: 426,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,076 : 196,006 = 196,006 : x
  2. Step 2: Convert to fraction form
    90,076/196,006 = 196,006/x
  3. Step 3: Cross multiply
    90,076x = 196,006 × 196,006
  4. Step 4: Simplify right side
    90,076x = 38,418,352,036
  5. Step 5: Solve for x
    x = 38,418,352,036/90,076
  6. Step 6: Final answer
    x = 426,510.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.