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Finding the Third Proportional to 104,102 and 225,688

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Solution

The third proportional to 104,102 and 225,688 is: 489,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,102 : 225,688 = 225,688 : x
  2. Step 2: Convert to fraction form
    104,102/225,688 = 225,688/x
  3. Step 3: Cross multiply
    104,102x = 225,688 × 225,688
  4. Step 4: Simplify right side
    104,102x = 50,935,073,344
  5. Step 5: Solve for x
    x = 50,935,073,344/104,102
  6. Step 6: Final answer
    x = 489,280.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.