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Finding the Third Proportional to 100,822 and 148,933

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Solution

The third proportional to 100,822 and 148,933 is: 220,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,822 : 148,933 = 148,933 : x
  2. Step 2: Convert to fraction form
    100,822/148,933 = 148,933/x
  3. Step 3: Cross multiply
    100,822x = 148,933 × 148,933
  4. Step 4: Simplify right side
    100,822x = 22,181,038,489
  5. Step 5: Solve for x
    x = 22,181,038,489/100,822
  6. Step 6: Final answer
    x = 220,001.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.