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Finding the Third Proportional to 70,518 and 153,898

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Solution

The third proportional to 70,518 and 153,898 is: 335,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,518 : 153,898 = 153,898 : x
  2. Step 2: Convert to fraction form
    70,518/153,898 = 153,898/x
  3. Step 3: Cross multiply
    70,518x = 153,898 × 153,898
  4. Step 4: Simplify right side
    70,518x = 23,684,594,404
  5. Step 5: Solve for x
    x = 23,684,594,404/70,518
  6. Step 6: Final answer
    x = 335,865.94

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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.