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Finding the Third Proportional to 71,348 and 105,993

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Solution

The third proportional to 71,348 and 105,993 is: 157,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,348 : 105,993 = 105,993 : x
  2. Step 2: Convert to fraction form
    71,348/105,993 = 105,993/x
  3. Step 3: Cross multiply
    71,348x = 105,993 × 105,993
  4. Step 4: Simplify right side
    71,348x = 11,234,516,049
  5. Step 5: Solve for x
    x = 11,234,516,049/71,348
  6. Step 6: Final answer
    x = 157,460.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.