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Finding the Third Proportional to 102,672 and 224,160

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Solution

The third proportional to 102,672 and 224,160 is: 489,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,672 : 224,160 = 224,160 : x
  2. Step 2: Convert to fraction form
    102,672/224,160 = 224,160/x
  3. Step 3: Cross multiply
    102,672x = 224,160 × 224,160
  4. Step 4: Simplify right side
    102,672x = 50,247,705,600
  5. Step 5: Solve for x
    x = 50,247,705,600/102,672
  6. Step 6: Final answer
    x = 489,400.28

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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.