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Finding the Third Proportional to 98,066 and 146,967

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Solution

The third proportional to 98,066 and 146,967 is: 220,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,066 : 146,967 = 146,967 : x
  2. Step 2: Convert to fraction form
    98,066/146,967 = 146,967/x
  3. Step 3: Cross multiply
    98,066x = 146,967 × 146,967
  4. Step 4: Simplify right side
    98,066x = 21,599,299,089
  5. Step 5: Solve for x
    x = 21,599,299,089/98,066
  6. Step 6: Final answer
    x = 220,252.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.