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Finding the Third Proportional to 71,323 and 153,933

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Solution

The third proportional to 71,323 and 153,933 is: 332,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,323 : 153,933 = 153,933 : x
  2. Step 2: Convert to fraction form
    71,323/153,933 = 153,933/x
  3. Step 3: Cross multiply
    71,323x = 153,933 × 153,933
  4. Step 4: Simplify right side
    71,323x = 23,695,368,489
  5. Step 5: Solve for x
    x = 23,695,368,489/71,323
  6. Step 6: Final answer
    x = 332,226.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.