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Finding the Third Proportional to 102,003 and 149,893

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Solution

The third proportional to 102,003 and 149,893 is: 220,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,003 : 149,893 = 149,893 : x
  2. Step 2: Convert to fraction form
    102,003/149,893 = 149,893/x
  3. Step 3: Cross multiply
    102,003x = 149,893 × 149,893
  4. Step 4: Simplify right side
    102,003x = 22,467,911,449
  5. Step 5: Solve for x
    x = 22,467,911,449/102,003
  6. Step 6: Final answer
    x = 220,267.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.