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Finding the Third Proportional to 71,073 and 153,084

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Solution

The third proportional to 71,073 and 153,084 is: 329,727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,073 : 153,084 = 153,084 : x
  2. Step 2: Convert to fraction form
    71,073/153,084 = 153,084/x
  3. Step 3: Cross multiply
    71,073x = 153,084 × 153,084
  4. Step 4: Simplify right side
    71,073x = 23,434,711,056
  5. Step 5: Solve for x
    x = 23,434,711,056/71,073
  6. Step 6: Final answer
    x = 329,727.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.