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Finding the Third Proportional to 77,648 and 165,464

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Solution

The third proportional to 77,648 and 165,464 is: 352,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,648 : 165,464 = 165,464 : x
  2. Step 2: Convert to fraction form
    77,648/165,464 = 165,464/x
  3. Step 3: Cross multiply
    77,648x = 165,464 × 165,464
  4. Step 4: Simplify right side
    77,648x = 27,378,335,296
  5. Step 5: Solve for x
    x = 27,378,335,296/77,648
  6. Step 6: Final answer
    x = 352,595.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.