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Finding the Third Proportional to 70,524 and 153,910

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Solution

The third proportional to 70,524 and 153,910 is: 335,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,524 : 153,910 = 153,910 : x
  2. Step 2: Convert to fraction form
    70,524/153,910 = 153,910/x
  3. Step 3: Cross multiply
    70,524x = 153,910 × 153,910
  4. Step 4: Simplify right side
    70,524x = 23,688,288,100
  5. Step 5: Solve for x
    x = 23,688,288,100/70,524
  6. Step 6: Final answer
    x = 335,889.74

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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.