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Finding the Third Proportional to 70,511 and 153,883

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Solution

The third proportional to 70,511 and 153,883 is: 335,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,511 : 153,883 = 153,883 : x
  2. Step 2: Convert to fraction form
    70,511/153,883 = 153,883/x
  3. Step 3: Cross multiply
    70,511x = 153,883 × 153,883
  4. Step 4: Simplify right side
    70,511x = 23,679,977,689
  5. Step 5: Solve for x
    x = 23,679,977,689/70,511
  6. Step 6: Final answer
    x = 335,833.81

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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.