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Finding the Third Proportional to 70,027 and 153,659

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Solution

The third proportional to 70,027 and 153,659 is: 337,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,027 : 153,659 = 153,659 : x
  2. Step 2: Convert to fraction form
    70,027/153,659 = 153,659/x
  3. Step 3: Cross multiply
    70,027x = 153,659 × 153,659
  4. Step 4: Simplify right side
    70,027x = 23,611,088,281
  5. Step 5: Solve for x
    x = 23,611,088,281/70,027
  6. Step 6: Final answer
    x = 337,171.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.