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Finding the Third Proportional to 30,266 and 66,502

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Solution

The third proportional to 30,266 and 66,502 is: 146,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266 : 66,502 = 66,502 : x
  2. Step 2: Convert to fraction form
    30,266/66,502 = 66,502/x
  3. Step 3: Cross multiply
    30,266x = 66,502 × 66,502
  4. Step 4: Simplify right side
    30,266x = 4,422,516,004
  5. Step 5: Solve for x
    x = 4,422,516,004/30,266
  6. Step 6: Final answer
    x = 146,121.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.