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Finding the Third Proportional to 68,272 and 103,362

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Solution

The third proportional to 68,272 and 103,362 is: 156,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,272 : 103,362 = 103,362 : x
  2. Step 2: Convert to fraction form
    68,272/103,362 = 103,362/x
  3. Step 3: Cross multiply
    68,272x = 103,362 × 103,362
  4. Step 4: Simplify right side
    68,272x = 10,683,703,044
  5. Step 5: Solve for x
    x = 10,683,703,044/68,272
  6. Step 6: Final answer
    x = 156,487.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.