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Finding the Third Proportional to 75,973.50 and 165,323.25

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Solution

The third proportional to 75,973.50 and 165,323.25 is: 359,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,973.50 : 165,323.25 = 165,323.25 : x
  2. Step 2: Convert to fraction form
    75,973.50/165,323.25 = 165,323.25/x
  3. Step 3: Cross multiply
    75,973.50x = 165,323.25 × 165,323.25
  4. Step 4: Simplify right side
    75,973.50x = 27,331,776,990.56
  5. Step 5: Solve for x
    x = 27,331,776,990.56/75,973.50
  6. Step 6: Final answer
    x = 359,754.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.