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Finding the Third Proportional to 111,220 and 172,360

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Solution

The third proportional to 111,220 and 172,360 is: 267,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,220 : 172,360 = 172,360 : x
  2. Step 2: Convert to fraction form
    111,220/172,360 = 172,360/x
  3. Step 3: Cross multiply
    111,220x = 172,360 × 172,360
  4. Step 4: Simplify right side
    111,220x = 29,707,969,600
  5. Step 5: Solve for x
    x = 29,707,969,600/111,220
  6. Step 6: Final answer
    x = 267,109.96

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