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Finding the Third Proportional to 70,514 and 151,276

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Solution

The third proportional to 70,514 and 151,276 is: 324,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,514 : 151,276 = 151,276 : x
  2. Step 2: Convert to fraction form
    70,514/151,276 = 151,276/x
  3. Step 3: Cross multiply
    70,514x = 151,276 × 151,276
  4. Step 4: Simplify right side
    70,514x = 22,884,428,176
  5. Step 5: Solve for x
    x = 22,884,428,176/70,514
  6. Step 6: Final answer
    x = 324,537.37

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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.