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Finding the Third Proportional to 70,510 and 107,997

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Solution

The third proportional to 70,510 and 107,997 is: 165,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,510 : 107,997 = 107,997 : x
  2. Step 2: Convert to fraction form
    70,510/107,997 = 107,997/x
  3. Step 3: Cross multiply
    70,510x = 107,997 × 107,997
  4. Step 4: Simplify right side
    70,510x = 11,663,352,009
  5. Step 5: Solve for x
    x = 11,663,352,009/70,510
  6. Step 6: Final answer
    x = 165,414.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.