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Finding the Third Proportional to 110,963.25 and 171,623.81

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Solution

The third proportional to 110,963.25 and 171,623.81 is: 265,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,963.25 : 171,623.81 = 171,623.81 : x
  2. Step 2: Convert to fraction form
    110,963.25/171,623.81 = 171,623.81/x
  3. Step 3: Cross multiply
    110,963.25x = 171,623.81 × 171,623.81
  4. Step 4: Simplify right side
    110,963.25x = 29,454,733,017.04
  5. Step 5: Solve for x
    x = 29,454,733,017.04/110,963.25
  6. Step 6: Final answer
    x = 265,445.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.