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Finding the Third Proportional to 114,744.09 and 172,216.13

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Solution

The third proportional to 114,744.09 and 172,216.13 is: 258,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,744.09 : 172,216.13 = 172,216.13 : x
  2. Step 2: Convert to fraction form
    114,744.09/172,216.13 = 172,216.13/x
  3. Step 3: Cross multiply
    114,744.09x = 172,216.13 × 172,216.13
  4. Step 4: Simplify right side
    114,744.09x = 29,658,393,710.02
  5. Step 5: Solve for x
    x = 29,658,393,710.02/114,744.09
  6. Step 6: Final answer
    x = 258,474.25

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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.