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Finding the Third Proportional to 71,336 and 151,888

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Solution

The third proportional to 71,336 and 151,888 is: 323,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,336 : 151,888 = 151,888 : x
  2. Step 2: Convert to fraction form
    71,336/151,888 = 151,888/x
  3. Step 3: Cross multiply
    71,336x = 151,888 × 151,888
  4. Step 4: Simplify right side
    71,336x = 23,069,964,544
  5. Step 5: Solve for x
    x = 23,069,964,544/71,336
  6. Step 6: Final answer
    x = 323,398.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.