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Finding the Third Proportional to 66,824 and 145,306

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Solution

The third proportional to 66,824 and 145,306 is: 315,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,824 : 145,306 = 145,306 : x
  2. Step 2: Convert to fraction form
    66,824/145,306 = 145,306/x
  3. Step 3: Cross multiply
    66,824x = 145,306 × 145,306
  4. Step 4: Simplify right side
    66,824x = 21,113,833,636
  5. Step 5: Solve for x
    x = 21,113,833,636/66,824
  6. Step 6: Final answer
    x = 315,961.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.