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Finding the Third Proportional to 72,055 and 113,043

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Solution

The third proportional to 72,055 and 113,043 is: 177,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,055 : 113,043 = 113,043 : x
  2. Step 2: Convert to fraction form
    72,055/113,043 = 113,043/x
  3. Step 3: Cross multiply
    72,055x = 113,043 × 113,043
  4. Step 4: Simplify right side
    72,055x = 12,778,719,849
  5. Step 5: Solve for x
    x = 12,778,719,849/72,055
  6. Step 6: Final answer
    x = 177,346.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.