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Finding the Third Proportional to 74,026.50 and 162,815.25

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Solution

The third proportional to 74,026.50 and 162,815.25 is: 358,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,026.50 : 162,815.25 = 162,815.25 : x
  2. Step 2: Convert to fraction form
    74,026.50/162,815.25 = 162,815.25/x
  3. Step 3: Cross multiply
    74,026.50x = 162,815.25 × 162,815.25
  4. Step 4: Simplify right side
    74,026.50x = 26,508,805,632.56
  5. Step 5: Solve for x
    x = 26,508,805,632.56/74,026.50
  6. Step 6: Final answer
    x = 358,098.87

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Why These Related Problems?

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