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Finding the Third Proportional to 71,007 and 154,596

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Solution

The third proportional to 71,007 and 154,596 is: 336,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,007 : 154,596 = 154,596 : x
  2. Step 2: Convert to fraction form
    71,007/154,596 = 154,596/x
  3. Step 3: Cross multiply
    71,007x = 154,596 × 154,596
  4. Step 4: Simplify right side
    71,007x = 23,899,923,216
  5. Step 5: Solve for x
    x = 23,899,923,216/71,007
  6. Step 6: Final answer
    x = 336,585.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.