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Finding the Third Proportional to 107,664.19 and 116,412.19

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Solution

The third proportional to 107,664.19 and 116,412.19 is: 125,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,664.19 : 116,412.19 = 116,412.19 : x
  2. Step 2: Convert to fraction form
    107,664.19/116,412.19 = 116,412.19/x
  3. Step 3: Cross multiply
    107,664.19x = 116,412.19 × 116,412.19
  4. Step 4: Simplify right side
    107,664.19x = 13,551,797,398.54
  5. Step 5: Solve for x
    x = 13,551,797,398.54/107,664.19
  6. Step 6: Final answer
    x = 125,870.99

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.