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Finding the Third Proportional to 122,688 and 173,982

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Solution

The third proportional to 122,688 and 173,982 is: 246,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,688 : 173,982 = 173,982 : x
  2. Step 2: Convert to fraction form
    122,688/173,982 = 173,982/x
  3. Step 3: Cross multiply
    122,688x = 173,982 × 173,982
  4. Step 4: Simplify right side
    122,688x = 30,269,736,324
  5. Step 5: Solve for x
    x = 30,269,736,324/122,688
  6. Step 6: Final answer
    x = 246,721.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.