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Finding the Third Proportional to 99,032 and 149,023

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Solution

The third proportional to 99,032 and 149,023 is: 224,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,032 : 149,023 = 149,023 : x
  2. Step 2: Convert to fraction form
    99,032/149,023 = 149,023/x
  3. Step 3: Cross multiply
    99,032x = 149,023 × 149,023
  4. Step 4: Simplify right side
    99,032x = 22,207,854,529
  5. Step 5: Solve for x
    x = 22,207,854,529/99,032
  6. Step 6: Final answer
    x = 224,249.28

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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.