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Finding the Third Proportional to 99,690 and 142,191

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Solution

The third proportional to 99,690 and 142,191 is: 202,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,690 : 142,191 = 142,191 : x
  2. Step 2: Convert to fraction form
    99,690/142,191 = 142,191/x
  3. Step 3: Cross multiply
    99,690x = 142,191 × 142,191
  4. Step 4: Simplify right side
    99,690x = 20,218,280,481
  5. Step 5: Solve for x
    x = 20,218,280,481/99,690
  6. Step 6: Final answer
    x = 202,811.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.