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Finding the Third Proportional to 99,606 and 157,795

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Solution

The third proportional to 99,606 and 157,795 is: 249,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,606 : 157,795 = 157,795 : x
  2. Step 2: Convert to fraction form
    99,606/157,795 = 157,795/x
  3. Step 3: Cross multiply
    99,606x = 157,795 × 157,795
  4. Step 4: Simplify right side
    99,606x = 24,899,262,025
  5. Step 5: Solve for x
    x = 24,899,262,025/99,606
  6. Step 6: Final answer
    x = 249,977.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.