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Finding the Third Proportional to 103,968 and 157,065

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Solution

The third proportional to 103,968 and 157,065 is: 237,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,968 : 157,065 = 157,065 : x
  2. Step 2: Convert to fraction form
    103,968/157,065 = 157,065/x
  3. Step 3: Cross multiply
    103,968x = 157,065 × 157,065
  4. Step 4: Simplify right side
    103,968x = 24,669,414,225
  5. Step 5: Solve for x
    x = 24,669,414,225/103,968
  6. Step 6: Final answer
    x = 237,278.91

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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.