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Finding the Third Proportional to 111,116.75 and 180,526.25

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Solution

The third proportional to 111,116.75 and 180,526.25 is: 293,292.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,116.75 : 180,526.25 = 180,526.25 : x
  2. Step 2: Convert to fraction form
    111,116.75/180,526.25 = 180,526.25/x
  3. Step 3: Cross multiply
    111,116.75x = 180,526.25 × 180,526.25
  4. Step 4: Simplify right side
    111,116.75x = 32,589,726,939.06
  5. Step 5: Solve for x
    x = 32,589,726,939.06/111,116.75
  6. Step 6: Final answer
    x = 293,292.66

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.