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Finding the Third Proportional to 71,084 and 153,104

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Solution

The third proportional to 71,084 and 153,104 is: 329,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084 : 153,104 = 153,104 : x
  2. Step 2: Convert to fraction form
    71,084/153,104 = 153,104/x
  3. Step 3: Cross multiply
    71,084x = 153,104 × 153,104
  4. Step 4: Simplify right side
    71,084x = 23,440,834,816
  5. Step 5: Solve for x
    x = 23,440,834,816/71,084
  6. Step 6: Final answer
    x = 329,762.46

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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.