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Finding the Third Proportional to 76,768 and 165,202

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Solution

The third proportional to 76,768 and 165,202 is: 355,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,768 : 165,202 = 165,202 : x
  2. Step 2: Convert to fraction form
    76,768/165,202 = 165,202/x
  3. Step 3: Cross multiply
    76,768x = 165,202 × 165,202
  4. Step 4: Simplify right side
    76,768x = 27,291,700,804
  5. Step 5: Solve for x
    x = 27,291,700,804/76,768
  6. Step 6: Final answer
    x = 355,508.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.