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Finding the Third Proportional to 99,301 and 149,878

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Solution

The third proportional to 99,301 and 149,878 is: 226,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,301 : 149,878 = 149,878 : x
  2. Step 2: Convert to fraction form
    99,301/149,878 = 149,878/x
  3. Step 3: Cross multiply
    99,301x = 149,878 × 149,878
  4. Step 4: Simplify right side
    99,301x = 22,463,414,884
  5. Step 5: Solve for x
    x = 22,463,414,884/99,301
  6. Step 6: Final answer
    x = 226,215.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.