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Finding the Third Proportional to 71,084 and 153,251

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Solution

The third proportional to 71,084 and 153,251 is: 330,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084 : 153,251 = 153,251 : x
  2. Step 2: Convert to fraction form
    71,084/153,251 = 153,251/x
  3. Step 3: Cross multiply
    71,084x = 153,251 × 153,251
  4. Step 4: Simplify right side
    71,084x = 23,485,869,001
  5. Step 5: Solve for x
    x = 23,485,869,001/71,084
  6. Step 6: Final answer
    x = 330,396.00

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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.