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Finding the Third Proportional to 114,705.75 and 171,979.06

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Solution

The third proportional to 114,705.75 and 171,979.06 is: 257,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,705.75 : 171,979.06 = 171,979.06 : x
  2. Step 2: Convert to fraction form
    114,705.75/171,979.06 = 171,979.06/x
  3. Step 3: Cross multiply
    114,705.75x = 171,979.06 × 171,979.06
  4. Step 4: Simplify right side
    114,705.75x = 29,576,797,938.38
  5. Step 5: Solve for x
    x = 29,576,797,938.38/114,705.75
  6. Step 6: Final answer
    x = 257,849.31

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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.