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Finding the Third Proportional to 99,659 and 149,214

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Solution

The third proportional to 99,659 and 149,214 is: 223,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,659 : 149,214 = 149,214 : x
  2. Step 2: Convert to fraction form
    99,659/149,214 = 149,214/x
  3. Step 3: Cross multiply
    99,659x = 149,214 × 149,214
  4. Step 4: Simplify right side
    99,659x = 22,264,817,796
  5. Step 5: Solve for x
    x = 22,264,817,796/99,659
  6. Step 6: Final answer
    x = 223,410.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.