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Finding the Third Proportional to 74,856.38 and 161,706.94

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Solution

The third proportional to 74,856.38 and 161,706.94 is: 349,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856.38 : 161,706.94 = 161,706.94 : x
  2. Step 2: Convert to fraction form
    74,856.38/161,706.94 = 161,706.94/x
  3. Step 3: Cross multiply
    74,856.38x = 161,706.94 × 161,706.94
  4. Step 4: Simplify right side
    74,856.38x = 26,149,133,635.63
  5. Step 5: Solve for x
    x = 26,149,133,635.63/74,856.38
  6. Step 6: Final answer
    x = 349,324.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.