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Finding the Third Proportional to 75,556.13 and 105,914.25

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Solution

The third proportional to 75,556.13 and 105,914.25 is: 148,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,556.13 : 105,914.25 = 105,914.25 : x
  2. Step 2: Convert to fraction form
    75,556.13/105,914.25 = 105,914.25/x
  3. Step 3: Cross multiply
    75,556.13x = 105,914.25 × 105,914.25
  4. Step 4: Simplify right side
    75,556.13x = 11,217,828,353.06
  5. Step 5: Solve for x
    x = 11,217,828,353.06/75,556.13
  6. Step 6: Final answer
    x = 148,470.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.