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Finding the Third Proportional to 77,966 and 101,955.50

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Solution

The third proportional to 77,966 and 101,955.50 is: 133,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,966 : 101,955.50 = 101,955.50 : x
  2. Step 2: Convert to fraction form
    77,966/101,955.50 = 101,955.50/x
  3. Step 3: Cross multiply
    77,966x = 101,955.50 × 101,955.50
  4. Step 4: Simplify right side
    77,966x = 10,394,923,980.25
  5. Step 5: Solve for x
    x = 10,394,923,980.25/77,966
  6. Step 6: Final answer
    x = 133,326.37

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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.