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Finding the Third Proportional to 99,194 and 141,793

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Solution

The third proportional to 99,194 and 141,793 is: 202,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,194 : 141,793 = 141,793 : x
  2. Step 2: Convert to fraction form
    99,194/141,793 = 141,793/x
  3. Step 3: Cross multiply
    99,194x = 141,793 × 141,793
  4. Step 4: Simplify right side
    99,194x = 20,105,254,849
  5. Step 5: Solve for x
    x = 20,105,254,849/99,194
  6. Step 6: Final answer
    x = 202,686.20

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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.