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Finding the Third Proportional to 77,964 and 101,952.75

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Solution

The third proportional to 77,964 and 101,952.75 is: 133,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,964 : 101,952.75 = 101,952.75 : x
  2. Step 2: Convert to fraction form
    77,964/101,952.75 = 101,952.75/x
  3. Step 3: Cross multiply
    77,964x = 101,952.75 × 101,952.75
  4. Step 4: Simplify right side
    77,964x = 10,394,363,232.56
  5. Step 5: Solve for x
    x = 10,394,363,232.56/77,964
  6. Step 6: Final answer
    x = 133,322.60

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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.