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Finding the Third Proportional to 114,694 and 168,655

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Solution

The third proportional to 114,694 and 168,655 is: 248,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,694 : 168,655 = 168,655 : x
  2. Step 2: Convert to fraction form
    114,694/168,655 = 168,655/x
  3. Step 3: Cross multiply
    114,694x = 168,655 × 168,655
  4. Step 4: Simplify right side
    114,694x = 28,444,509,025
  5. Step 5: Solve for x
    x = 28,444,509,025/114,694
  6. Step 6: Final answer
    x = 248,003.46

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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.