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Finding the Third Proportional to 34,160.81 and 75,047.06

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Solution

The third proportional to 34,160.81 and 75,047.06 is: 164,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,160.81 : 75,047.06 = 75,047.06 : x
  2. Step 2: Convert to fraction form
    34,160.81/75,047.06 = 75,047.06/x
  3. Step 3: Cross multiply
    34,160.81x = 75,047.06 × 75,047.06
  4. Step 4: Simplify right side
    34,160.81x = 5,632,061,589.88
  5. Step 5: Solve for x
    x = 5,632,061,589.88/34,160.81
  6. Step 6: Final answer
    x = 164,869.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.