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Finding the Third Proportional to 106,282.13 and 162,248.06

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Solution

The third proportional to 106,282.13 and 162,248.06 is: 247,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,282.13 : 162,248.06 = 162,248.06 : x
  2. Step 2: Convert to fraction form
    106,282.13/162,248.06 = 162,248.06/x
  3. Step 3: Cross multiply
    106,282.13x = 162,248.06 × 162,248.06
  4. Step 4: Simplify right side
    106,282.13x = 26,324,433,785.00
  5. Step 5: Solve for x
    x = 26,324,433,785.00/106,282.13
  6. Step 6: Final answer
    x = 247,684.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.