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Finding the Third Proportional to 48,997 and 75,705

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Solution

The third proportional to 48,997 and 75,705 is: 116,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,997 : 75,705 = 75,705 : x
  2. Step 2: Convert to fraction form
    48,997/75,705 = 75,705/x
  3. Step 3: Cross multiply
    48,997x = 75,705 × 75,705
  4. Step 4: Simplify right side
    48,997x = 5,731,247,025
  5. Step 5: Solve for x
    x = 5,731,247,025/48,997
  6. Step 6: Final answer
    x = 116,971.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.