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Finding the Third Proportional to 99,513 and 149,208

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Solution

The third proportional to 99,513 and 149,208 is: 223,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,513 : 149,208 = 149,208 : x
  2. Step 2: Convert to fraction form
    99,513/149,208 = 149,208/x
  3. Step 3: Cross multiply
    99,513x = 149,208 × 149,208
  4. Step 4: Simplify right side
    99,513x = 22,263,027,264
  5. Step 5: Solve for x
    x = 22,263,027,264/99,513
  6. Step 6: Final answer
    x = 223,719.79

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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.