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Finding the Third Proportional to 74,826.28 and 161,521.59

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Solution

The third proportional to 74,826.28 and 161,521.59 is: 348,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,826.28 : 161,521.59 = 161,521.59 : x
  2. Step 2: Convert to fraction form
    74,826.28/161,521.59 = 161,521.59/x
  3. Step 3: Cross multiply
    74,826.28x = 161,521.59 × 161,521.59
  4. Step 4: Simplify right side
    74,826.28x = 26,089,225,247.54
  5. Step 5: Solve for x
    x = 26,089,225,247.54/74,826.28
  6. Step 6: Final answer
    x = 348,663.93

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Why These Related Problems?

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