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Finding the Third Proportional to 95,563 and 133,660.50

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Solution

The third proportional to 95,563 and 133,660.50 is: 186,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,563 : 133,660.50 = 133,660.50 : x
  2. Step 2: Convert to fraction form
    95,563/133,660.50 = 133,660.50/x
  3. Step 3: Cross multiply
    95,563x = 133,660.50 × 133,660.50
  4. Step 4: Simplify right side
    95,563x = 17,865,129,260.25
  5. Step 5: Solve for x
    x = 17,865,129,260.25/95,563
  6. Step 6: Final answer
    x = 186,946.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.