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Finding the Third Proportional to 74,859.19 and 162,179.72

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Solution

The third proportional to 74,859.19 and 162,179.72 is: 351,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,859.19 : 162,179.72 = 162,179.72 : x
  2. Step 2: Convert to fraction form
    74,859.19/162,179.72 = 162,179.72/x
  3. Step 3: Cross multiply
    74,859.19x = 162,179.72 × 162,179.72
  4. Step 4: Simplify right side
    74,859.19x = 26,302,261,173.83
  5. Step 5: Solve for x
    x = 26,302,261,173.83/74,859.19
  6. Step 6: Final answer
    x = 351,356.49

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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.