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Finding the Third Proportional to 75,952 and 122,028

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Solution

The third proportional to 75,952 and 122,028 is: 196,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,952 : 122,028 = 122,028 : x
  2. Step 2: Convert to fraction form
    75,952/122,028 = 122,028/x
  3. Step 3: Cross multiply
    75,952x = 122,028 × 122,028
  4. Step 4: Simplify right side
    75,952x = 14,890,832,784
  5. Step 5: Solve for x
    x = 14,890,832,784/75,952
  6. Step 6: Final answer
    x = 196,055.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.