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Finding the Third Proportional to 74,953.69 and 161,024.63

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Solution

The third proportional to 74,953.69 and 161,024.63 is: 345,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,953.69 : 161,024.63 = 161,024.63 : x
  2. Step 2: Convert to fraction form
    74,953.69/161,024.63 = 161,024.63/x
  3. Step 3: Cross multiply
    74,953.69x = 161,024.63 × 161,024.63
  4. Step 4: Simplify right side
    74,953.69x = 25,928,929,856.39
  5. Step 5: Solve for x
    x = 25,928,929,856.39/74,953.69
  6. Step 6: Final answer
    x = 345,932.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.