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Finding the Third Proportional to 70,105 and 151,514

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Solution

The third proportional to 70,105 and 151,514 is: 327,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105 : 151,514 = 151,514 : x
  2. Step 2: Convert to fraction form
    70,105/151,514 = 151,514/x
  3. Step 3: Cross multiply
    70,105x = 151,514 × 151,514
  4. Step 4: Simplify right side
    70,105x = 22,956,492,196
  5. Step 5: Solve for x
    x = 22,956,492,196/70,105
  6. Step 6: Final answer
    x = 327,458.70

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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.