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Finding the Third Proportional to 77,966.75 and 101,956.75

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Solution

The third proportional to 77,966.75 and 101,956.75 is: 133,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,966.75 : 101,956.75 = 101,956.75 : x
  2. Step 2: Convert to fraction form
    77,966.75/101,956.75 = 101,956.75/x
  3. Step 3: Cross multiply
    77,966.75x = 101,956.75 × 101,956.75
  4. Step 4: Simplify right side
    77,966.75x = 10,395,178,870.56
  5. Step 5: Solve for x
    x = 10,395,178,870.56/77,966.75
  6. Step 6: Final answer
    x = 133,328.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.