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Finding the Third Proportional to 77,024 and 165,508

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Solution

The third proportional to 77,024 and 165,508 is: 355,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,024 : 165,508 = 165,508 : x
  2. Step 2: Convert to fraction form
    77,024/165,508 = 165,508/x
  3. Step 3: Cross multiply
    77,024x = 165,508 × 165,508
  4. Step 4: Simplify right side
    77,024x = 27,392,898,064
  5. Step 5: Solve for x
    x = 27,392,898,064/77,024
  6. Step 6: Final answer
    x = 355,641.07

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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.