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Finding the Third Proportional to 42,207.75 and 99,636.75

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Solution

The third proportional to 42,207.75 and 99,636.75 is: 235,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,207.75 : 99,636.75 = 99,636.75 : x
  2. Step 2: Convert to fraction form
    42,207.75/99,636.75 = 99,636.75/x
  3. Step 3: Cross multiply
    42,207.75x = 99,636.75 × 99,636.75
  4. Step 4: Simplify right side
    42,207.75x = 9,927,481,950.56
  5. Step 5: Solve for x
    x = 9,927,481,950.56/42,207.75
  6. Step 6: Final answer
    x = 235,205.19

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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.