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Finding the Third Proportional to 77,616 and 165,408

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Solution

The third proportional to 77,616 and 165,408 is: 352,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,616 : 165,408 = 165,408 : x
  2. Step 2: Convert to fraction form
    77,616/165,408 = 165,408/x
  3. Step 3: Cross multiply
    77,616x = 165,408 × 165,408
  4. Step 4: Simplify right side
    77,616x = 27,359,806,464
  5. Step 5: Solve for x
    x = 27,359,806,464/77,616
  6. Step 6: Final answer
    x = 352,502.14

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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.