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Finding the Third Proportional to 113,600 and 175,716

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Solution

The third proportional to 113,600 and 175,716 is: 271,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,600 : 175,716 = 175,716 : x
  2. Step 2: Convert to fraction form
    113,600/175,716 = 175,716/x
  3. Step 3: Cross multiply
    113,600x = 175,716 × 175,716
  4. Step 4: Simplify right side
    113,600x = 30,876,112,656
  5. Step 5: Solve for x
    x = 30,876,112,656/113,600
  6. Step 6: Final answer
    x = 271,796.77

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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.