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Finding the Third Proportional to 95,743 and 146,206.50

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Solution

The third proportional to 95,743 and 146,206.50 is: 223,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,743 : 146,206.50 = 146,206.50 : x
  2. Step 2: Convert to fraction form
    95,743/146,206.50 = 146,206.50/x
  3. Step 3: Cross multiply
    95,743x = 146,206.50 × 146,206.50
  4. Step 4: Simplify right side
    95,743x = 21,376,340,642.25
  5. Step 5: Solve for x
    x = 21,376,340,642.25/95,743
  6. Step 6: Final answer
    x = 223,267.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.