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Finding the Third Proportional to 99,202 and 141,802

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Solution

The third proportional to 99,202 and 141,802 is: 202,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,202 : 141,802 = 141,802 : x
  2. Step 2: Convert to fraction form
    99,202/141,802 = 141,802/x
  3. Step 3: Cross multiply
    99,202x = 141,802 × 141,802
  4. Step 4: Simplify right side
    99,202x = 20,107,807,204
  5. Step 5: Solve for x
    x = 20,107,807,204/99,202
  6. Step 6: Final answer
    x = 202,695.58

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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.