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Finding the Third Proportional to 74,958.47 and 162,372.56

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Solution

The third proportional to 74,958.47 and 162,372.56 is: 351,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,958.47 : 162,372.56 = 162,372.56 : x
  2. Step 2: Convert to fraction form
    74,958.47/162,372.56 = 162,372.56/x
  3. Step 3: Cross multiply
    74,958.47x = 162,372.56 × 162,372.56
  4. Step 4: Simplify right side
    74,958.47x = 26,364,849,052.82
  5. Step 5: Solve for x
    x = 26,364,849,052.82/74,958.47
  6. Step 6: Final answer
    x = 351,726.09

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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.