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Finding the Third Proportional to 113,007.75 and 175,093.50

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Solution

The third proportional to 113,007.75 and 175,093.50 is: 271,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,007.75 : 175,093.50 = 175,093.50 : x
  2. Step 2: Convert to fraction form
    113,007.75/175,093.50 = 175,093.50/x
  3. Step 3: Cross multiply
    113,007.75x = 175,093.50 × 175,093.50
  4. Step 4: Simplify right side
    113,007.75x = 30,657,733,742.25
  5. Step 5: Solve for x
    x = 30,657,733,742.25/113,007.75
  6. Step 6: Final answer
    x = 271,288.77

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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.