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Finding the Third Proportional to 114,772 and 247,672

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Solution

The third proportional to 114,772 and 247,672 is: 534,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,772 : 247,672 = 247,672 : x
  2. Step 2: Convert to fraction form
    114,772/247,672 = 247,672/x
  3. Step 3: Cross multiply
    114,772x = 247,672 × 247,672
  4. Step 4: Simplify right side
    114,772x = 61,341,419,584
  5. Step 5: Solve for x
    x = 61,341,419,584/114,772
  6. Step 6: Final answer
    x = 534,463.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.