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Finding the Third Proportional to 102,792 and 224,212

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Solution

The third proportional to 102,792 and 224,212 is: 489,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,792 : 224,212 = 224,212 : x
  2. Step 2: Convert to fraction form
    102,792/224,212 = 224,212/x
  3. Step 3: Cross multiply
    102,792x = 224,212 × 224,212
  4. Step 4: Simplify right side
    102,792x = 50,271,020,944
  5. Step 5: Solve for x
    x = 50,271,020,944/102,792
  6. Step 6: Final answer
    x = 489,055.77

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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.