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Finding the Third Proportional to 114,692 and 168,654

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Solution

The third proportional to 114,692 and 168,654 is: 248,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,692 : 168,654 = 168,654 : x
  2. Step 2: Convert to fraction form
    114,692/168,654 = 168,654/x
  3. Step 3: Cross multiply
    114,692x = 168,654 × 168,654
  4. Step 4: Simplify right side
    114,692x = 28,444,171,716
  5. Step 5: Solve for x
    x = 28,444,171,716/114,692
  6. Step 6: Final answer
    x = 248,004.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.