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Finding the Third Proportional to 71,226 and 153,171

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Solution

The third proportional to 71,226 and 153,171 is: 329,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,226 : 153,171 = 153,171 : x
  2. Step 2: Convert to fraction form
    71,226/153,171 = 153,171/x
  3. Step 3: Cross multiply
    71,226x = 153,171 × 153,171
  4. Step 4: Simplify right side
    71,226x = 23,461,355,241
  5. Step 5: Solve for x
    x = 23,461,355,241/71,226
  6. Step 6: Final answer
    x = 329,393.13

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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.