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Finding the Third Proportional to 138,709.13 and 303,102

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Solution

The third proportional to 138,709.13 and 303,102 is: 662,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,709.13 : 303,102 = 303,102 : x
  2. Step 2: Convert to fraction form
    138,709.13/303,102 = 303,102/x
  3. Step 3: Cross multiply
    138,709.13x = 303,102 × 303,102
  4. Step 4: Simplify right side
    138,709.13x = 91,870,822,404
  5. Step 5: Solve for x
    x = 91,870,822,404/138,709.13
  6. Step 6: Final answer
    x = 662,327.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.