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Finding the Third Proportional to 99,144 and 141,333

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Solution

The third proportional to 99,144 and 141,333 is: 201,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,144 : 141,333 = 141,333 : x
  2. Step 2: Convert to fraction form
    99,144/141,333 = 141,333/x
  3. Step 3: Cross multiply
    99,144x = 141,333 × 141,333
  4. Step 4: Simplify right side
    99,144x = 19,975,016,889
  5. Step 5: Solve for x
    x = 19,975,016,889/99,144
  6. Step 6: Final answer
    x = 201,474.79

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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.