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Finding the Third Proportional to 111,262 and 172,173

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Solution

The third proportional to 111,262 and 172,173 is: 266,430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,262 : 172,173 = 172,173 : x
  2. Step 2: Convert to fraction form
    111,262/172,173 = 172,173/x
  3. Step 3: Cross multiply
    111,262x = 172,173 × 172,173
  4. Step 4: Simplify right side
    111,262x = 29,643,541,929
  5. Step 5: Solve for x
    x = 29,643,541,929/111,262
  6. Step 6: Final answer
    x = 266,430.07

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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.