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Finding the Third Proportional to 48,688 and 102,992

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Solution

The third proportional to 48,688 and 102,992 is: 217,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,688 : 102,992 = 102,992 : x
  2. Step 2: Convert to fraction form
    48,688/102,992 = 102,992/x
  3. Step 3: Cross multiply
    48,688x = 102,992 × 102,992
  4. Step 4: Simplify right side
    48,688x = 10,607,352,064
  5. Step 5: Solve for x
    x = 10,607,352,064/48,688
  6. Step 6: Final answer
    x = 217,863.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.