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Finding the Third Proportional to 74,847.80 and 162,156.94

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Solution

The third proportional to 74,847.80 and 162,156.94 is: 351,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,847.80 : 162,156.94 = 162,156.94 : x
  2. Step 2: Convert to fraction form
    74,847.80/162,156.94 = 162,156.94/x
  3. Step 3: Cross multiply
    74,847.80x = 162,156.94 × 162,156.94
  4. Step 4: Simplify right side
    74,847.80x = 26,294,872,379.38
  5. Step 5: Solve for x
    x = 26,294,872,379.38/74,847.80
  6. Step 6: Final answer
    x = 351,311.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.