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Finding the Third Proportional to 114,706.13 and 174,003.19

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Solution

The third proportional to 114,706.13 and 174,003.19 is: 263,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,706.13 : 174,003.19 = 174,003.19 : x
  2. Step 2: Convert to fraction form
    114,706.13/174,003.19 = 174,003.19/x
  3. Step 3: Cross multiply
    114,706.13x = 174,003.19 × 174,003.19
  4. Step 4: Simplify right side
    114,706.13x = 30,277,109,260.16
  5. Step 5: Solve for x
    x = 30,277,109,260.16/114,706.13
  6. Step 6: Final answer
    x = 263,953.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.