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Finding the Third Proportional to 77,664 and 165,504

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Solution

The third proportional to 77,664 and 165,504 is: 352,693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,664 : 165,504 = 165,504 : x
  2. Step 2: Convert to fraction form
    77,664/165,504 = 165,504/x
  3. Step 3: Cross multiply
    77,664x = 165,504 × 165,504
  4. Step 4: Simplify right side
    77,664x = 27,391,574,016
  5. Step 5: Solve for x
    x = 27,391,574,016/77,664
  6. Step 6: Final answer
    x = 352,693.32

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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.