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Finding the Third Proportional to 45,732 and 68,706

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Solution

The third proportional to 45,732 and 68,706 is: 103,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,732 : 68,706 = 68,706 : x
  2. Step 2: Convert to fraction form
    45,732/68,706 = 68,706/x
  3. Step 3: Cross multiply
    45,732x = 68,706 × 68,706
  4. Step 4: Simplify right side
    45,732x = 4,720,514,436
  5. Step 5: Solve for x
    x = 4,720,514,436/45,732
  6. Step 6: Final answer
    x = 103,221.26

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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.