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Finding the Third Proportional to 74,200 and 165,011.50

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Solution

The third proportional to 74,200 and 165,011.50 is: 366,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200 : 165,011.50 = 165,011.50 : x
  2. Step 2: Convert to fraction form
    74,200/165,011.50 = 165,011.50/x
  3. Step 3: Cross multiply
    74,200x = 165,011.50 × 165,011.50
  4. Step 4: Simplify right side
    74,200x = 27,228,795,132.25
  5. Step 5: Solve for x
    x = 27,228,795,132.25/74,200
  6. Step 6: Final answer
    x = 366,964.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.