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Finding the Third Proportional to 70,105 and 152,898

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Solution

The third proportional to 70,105 and 152,898 is: 333,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105 : 152,898 = 152,898 : x
  2. Step 2: Convert to fraction form
    70,105/152,898 = 152,898/x
  3. Step 3: Cross multiply
    70,105x = 152,898 × 152,898
  4. Step 4: Simplify right side
    70,105x = 23,377,798,404
  5. Step 5: Solve for x
    x = 23,377,798,404/70,105
  6. Step 6: Final answer
    x = 333,468.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.