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Finding the Third Proportional to 99,418 and 150,575

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Solution

The third proportional to 99,418 and 150,575 is: 228,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,418 : 150,575 = 150,575 : x
  2. Step 2: Convert to fraction form
    99,418/150,575 = 150,575/x
  3. Step 3: Cross multiply
    99,418x = 150,575 × 150,575
  4. Step 4: Simplify right side
    99,418x = 22,672,830,625
  5. Step 5: Solve for x
    x = 22,672,830,625/99,418
  6. Step 6: Final answer
    x = 228,055.59

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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.