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Finding the Third Proportional to 45,946 and 68,919

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Solution

The third proportional to 45,946 and 68,919 is: 103,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,946 : 68,919 = 68,919 : x
  2. Step 2: Convert to fraction form
    45,946/68,919 = 68,919/x
  3. Step 3: Cross multiply
    45,946x = 68,919 × 68,919
  4. Step 4: Simplify right side
    45,946x = 4,749,828,561
  5. Step 5: Solve for x
    x = 4,749,828,561/45,946
  6. Step 6: Final answer
    x = 103,378.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.