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Finding the Third Proportional to 77,656 and 165,488

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Solution

The third proportional to 77,656 and 165,488 is: 352,661.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,656 : 165,488 = 165,488 : x
  2. Step 2: Convert to fraction form
    77,656/165,488 = 165,488/x
  3. Step 3: Cross multiply
    77,656x = 165,488 × 165,488
  4. Step 4: Simplify right side
    77,656x = 27,386,278,144
  5. Step 5: Solve for x
    x = 27,386,278,144/77,656
  6. Step 6: Final answer
    x = 352,661.46

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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.