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Finding the Third Proportional to 114,949 and 172,583

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Solution

The third proportional to 114,949 and 172,583 is: 259,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,949 : 172,583 = 172,583 : x
  2. Step 2: Convert to fraction form
    114,949/172,583 = 172,583/x
  3. Step 3: Cross multiply
    114,949x = 172,583 × 172,583
  4. Step 4: Simplify right side
    114,949x = 29,784,891,889
  5. Step 5: Solve for x
    x = 29,784,891,889/114,949
  6. Step 6: Final answer
    x = 259,113.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.