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Finding the Third Proportional to 114,301.13 and 171,446.63

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Solution

The third proportional to 114,301.13 and 171,446.63 is: 257,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,301.13 : 171,446.63 = 171,446.63 : x
  2. Step 2: Convert to fraction form
    114,301.13/171,446.63 = 171,446.63/x
  3. Step 3: Cross multiply
    114,301.13x = 171,446.63 × 171,446.63
  4. Step 4: Simplify right side
    114,301.13x = 29,393,945,223.89
  5. Step 5: Solve for x
    x = 29,393,945,223.89/114,301.13
  6. Step 6: Final answer
    x = 257,162.34

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