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Finding the Third Proportional to 75,725 and 165,202

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Solution

The third proportional to 75,725 and 165,202 is: 360,405.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,725 : 165,202 = 165,202 : x
  2. Step 2: Convert to fraction form
    75,725/165,202 = 165,202/x
  3. Step 3: Cross multiply
    75,725x = 165,202 × 165,202
  4. Step 4: Simplify right side
    75,725x = 27,291,700,804
  5. Step 5: Solve for x
    x = 27,291,700,804/75,725
  6. Step 6: Final answer
    x = 360,405.42

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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.