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Finding the Third Proportional to 104,160 and 224,142

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Solution

The third proportional to 104,160 and 224,142 is: 482,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,160 : 224,142 = 224,142 : x
  2. Step 2: Convert to fraction form
    104,160/224,142 = 224,142/x
  3. Step 3: Cross multiply
    104,160x = 224,142 × 224,142
  4. Step 4: Simplify right side
    104,160x = 50,239,636,164
  5. Step 5: Solve for x
    x = 50,239,636,164/104,160
  6. Step 6: Final answer
    x = 482,331.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.