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Finding the Third Proportional to 114,772 and 175,446

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Solution

The third proportional to 114,772 and 175,446 is: 268,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,772 : 175,446 = 175,446 : x
  2. Step 2: Convert to fraction form
    114,772/175,446 = 175,446/x
  3. Step 3: Cross multiply
    114,772x = 175,446 × 175,446
  4. Step 4: Simplify right side
    114,772x = 30,781,298,916
  5. Step 5: Solve for x
    x = 30,781,298,916/114,772
  6. Step 6: Final answer
    x = 268,195.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.