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Finding the Third Proportional to 110,913.75 and 172,062

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Solution

The third proportional to 110,913.75 and 172,062 is: 266,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,913.75 : 172,062 = 172,062 : x
  2. Step 2: Convert to fraction form
    110,913.75/172,062 = 172,062/x
  3. Step 3: Cross multiply
    110,913.75x = 172,062 × 172,062
  4. Step 4: Simplify right side
    110,913.75x = 29,605,331,844
  5. Step 5: Solve for x
    x = 29,605,331,844/110,913.75
  6. Step 6: Final answer
    x = 266,922.11

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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.