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Finding the Third Proportional to 75,277.13 and 116,628.19

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Solution

The third proportional to 75,277.13 and 116,628.19 is: 180,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,277.13 : 116,628.19 = 116,628.19 : x
  2. Step 2: Convert to fraction form
    75,277.13/116,628.19 = 116,628.19/x
  3. Step 3: Cross multiply
    75,277.13x = 116,628.19 × 116,628.19
  4. Step 4: Simplify right side
    75,277.13x = 13,602,134,119.54
  5. Step 5: Solve for x
    x = 13,602,134,119.54/75,277.13
  6. Step 6: Final answer
    x = 180,694.12

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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.