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Finding the Third Proportional to 111 and 172.50

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Solution

The third proportional to 111 and 172.50 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111 : 172.50 = 172.50 : x
  2. Step 2: Convert to fraction form
    111/172.50 = 172.50/x
  3. Step 3: Cross multiply
    111x = 172.50 × 172.50
  4. Step 4: Simplify right side
    111x = 29,756.25
  5. Step 5: Solve for x
    x = 29,756.25/111
  6. Step 6: Final answer
    x = 268.07

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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.