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Finding the Third Proportional to 74,096.44 and 159,856.88

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Solution

The third proportional to 74,096.44 and 159,856.88 is: 344,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,096.44 : 159,856.88 = 159,856.88 : x
  2. Step 2: Convert to fraction form
    74,096.44/159,856.88 = 159,856.88/x
  3. Step 3: Cross multiply
    74,096.44x = 159,856.88 × 159,856.88
  4. Step 4: Simplify right side
    74,096.44x = 25,554,220,484.77
  5. Step 5: Solve for x
    x = 25,554,220,484.77/74,096.44
  6. Step 6: Final answer
    x = 344,877.86

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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.