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Finding the Third Proportional to 42,203 and 99,625

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Solution

The third proportional to 42,203 and 99,625 is: 235,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,203 : 99,625 = 99,625 : x
  2. Step 2: Convert to fraction form
    42,203/99,625 = 99,625/x
  3. Step 3: Cross multiply
    42,203x = 99,625 × 99,625
  4. Step 4: Simplify right side
    42,203x = 9,925,140,625
  5. Step 5: Solve for x
    x = 9,925,140,625/42,203
  6. Step 6: Final answer
    x = 235,176.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.