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Finding the Third Proportional to 71,163 and 154,015

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Solution

The third proportional to 71,163 and 154,015 is: 333,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,163 : 154,015 = 154,015 : x
  2. Step 2: Convert to fraction form
    71,163/154,015 = 154,015/x
  3. Step 3: Cross multiply
    71,163x = 154,015 × 154,015
  4. Step 4: Simplify right side
    71,163x = 23,720,620,225
  5. Step 5: Solve for x
    x = 23,720,620,225/71,163
  6. Step 6: Final answer
    x = 333,328.00

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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.