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Finding the Third Proportional to 34,200 and 75,303.75

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Solution

The third proportional to 34,200 and 75,303.75 is: 165,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200 : 75,303.75 = 75,303.75 : x
  2. Step 2: Convert to fraction form
    34,200/75,303.75 = 75,303.75/x
  3. Step 3: Cross multiply
    34,200x = 75,303.75 × 75,303.75
  4. Step 4: Simplify right side
    34,200x = 5,670,654,764.06
  5. Step 5: Solve for x
    x = 5,670,654,764.06/34,200
  6. Step 6: Final answer
    x = 165,808.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.