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Finding the Third Proportional to 48,688 and 106,306

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Solution

The third proportional to 48,688 and 106,306 is: 232,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,688 : 106,306 = 106,306 : x
  2. Step 2: Convert to fraction form
    48,688/106,306 = 106,306/x
  3. Step 3: Cross multiply
    48,688x = 106,306 × 106,306
  4. Step 4: Simplify right side
    48,688x = 11,300,965,636
  5. Step 5: Solve for x
    x = 11,300,965,636/48,688
  6. Step 6: Final answer
    x = 232,109.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.