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Finding the Third Proportional to 102,721.50 and 224,127

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Solution

The third proportional to 102,721.50 and 224,127 is: 489,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,721.50 : 224,127 = 224,127 : x
  2. Step 2: Convert to fraction form
    102,721.50/224,127 = 224,127/x
  3. Step 3: Cross multiply
    102,721.50x = 224,127 × 224,127
  4. Step 4: Simplify right side
    102,721.50x = 50,232,912,129
  5. Step 5: Solve for x
    x = 50,232,912,129/102,721.50
  6. Step 6: Final answer
    x = 489,020.43

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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.