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Finding the Third Proportional to 66,919 and 148,600

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Solution

The third proportional to 66,919 and 148,600 is: 329,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,919 : 148,600 = 148,600 : x
  2. Step 2: Convert to fraction form
    66,919/148,600 = 148,600/x
  3. Step 3: Cross multiply
    66,919x = 148,600 × 148,600
  4. Step 4: Simplify right side
    66,919x = 22,081,960,000
  5. Step 5: Solve for x
    x = 22,081,960,000/66,919
  6. Step 6: Final answer
    x = 329,980.42

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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.