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Finding the Third Proportional to 77,023 and 165,110

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Solution

The third proportional to 77,023 and 165,110 is: 353,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,023 : 165,110 = 165,110 : x
  2. Step 2: Convert to fraction form
    77,023/165,110 = 165,110/x
  3. Step 3: Cross multiply
    77,023x = 165,110 × 165,110
  4. Step 4: Simplify right side
    77,023x = 27,261,312,100
  5. Step 5: Solve for x
    x = 27,261,312,100/77,023
  6. Step 6: Final answer
    x = 353,937.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.