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Finding the Third Proportional to 70,468 and 152,018

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Solution

The third proportional to 70,468 and 152,018 is: 327,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,468 : 152,018 = 152,018 : x
  2. Step 2: Convert to fraction form
    70,468/152,018 = 152,018/x
  3. Step 3: Cross multiply
    70,468x = 152,018 × 152,018
  4. Step 4: Simplify right side
    70,468x = 23,109,472,324
  5. Step 5: Solve for x
    x = 23,109,472,324/70,468
  6. Step 6: Final answer
    x = 327,942.79

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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.