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Finding the Third Proportional to 74,102.91 and 162,608.63

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Solution

The third proportional to 74,102.91 and 162,608.63 is: 356,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,102.91 : 162,608.63 = 162,608.63 : x
  2. Step 2: Convert to fraction form
    74,102.91/162,608.63 = 162,608.63/x
  3. Step 3: Cross multiply
    74,102.91x = 162,608.63 × 162,608.63
  4. Step 4: Simplify right side
    74,102.91x = 26,441,564,924.39
  5. Step 5: Solve for x
    x = 26,441,564,924.39/74,102.91
  6. Step 6: Final answer
    x = 356,822.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.