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Finding the Third Proportional to 111,805.50 and 167,264.25

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Solution

The third proportional to 111,805.50 and 167,264.25 is: 250,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,805.50 : 167,264.25 = 167,264.25 : x
  2. Step 2: Convert to fraction form
    111,805.50/167,264.25 = 167,264.25/x
  3. Step 3: Cross multiply
    111,805.50x = 167,264.25 × 167,264.25
  4. Step 4: Simplify right side
    111,805.50x = 27,977,329,328.06
  5. Step 5: Solve for x
    x = 27,977,329,328.06/111,805.50
  6. Step 6: Final answer
    x = 250,232.14

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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.