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Finding the Third Proportional to 77,996 and 114,069

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Solution

The third proportional to 77,996 and 114,069 is: 166,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,996 : 114,069 = 114,069 : x
  2. Step 2: Convert to fraction form
    77,996/114,069 = 114,069/x
  3. Step 3: Cross multiply
    77,996x = 114,069 × 114,069
  4. Step 4: Simplify right side
    77,996x = 13,011,736,761
  5. Step 5: Solve for x
    x = 13,011,736,761/77,996
  6. Step 6: Final answer
    x = 166,825.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.