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Finding the Third Proportional to 77,976 and 165,253.50

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Solution

The third proportional to 77,976 and 165,253.50 is: 350,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976 : 165,253.50 = 165,253.50 : x
  2. Step 2: Convert to fraction form
    77,976/165,253.50 = 165,253.50/x
  3. Step 3: Cross multiply
    77,976x = 165,253.50 × 165,253.50
  4. Step 4: Simplify right side
    77,976x = 27,308,719,262.25
  5. Step 5: Solve for x
    x = 27,308,719,262.25/77,976
  6. Step 6: Final answer
    x = 350,219.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.