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Finding the Third Proportional to 76,946 and 122,922

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Solution

The third proportional to 76,946 and 122,922 is: 196,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,946 : 122,922 = 122,922 : x
  2. Step 2: Convert to fraction form
    76,946/122,922 = 122,922/x
  3. Step 3: Cross multiply
    76,946x = 122,922 × 122,922
  4. Step 4: Simplify right side
    76,946x = 15,109,818,084
  5. Step 5: Solve for x
    x = 15,109,818,084/76,946
  6. Step 6: Final answer
    x = 196,369.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.