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Finding the Third Proportional to 77,642 and 165,460

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Solution

The third proportional to 77,642 and 165,460 is: 352,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642 : 165,460 = 165,460 : x
  2. Step 2: Convert to fraction form
    77,642/165,460 = 165,460/x
  3. Step 3: Cross multiply
    77,642x = 165,460 × 165,460
  4. Step 4: Simplify right side
    77,642x = 27,377,011,600
  5. Step 5: Solve for x
    x = 27,377,011,600/77,642
  6. Step 6: Final answer
    x = 352,605.70

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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.