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Finding the Third Proportional to 74,524 and 159,712

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Solution

The third proportional to 74,524 and 159,712 is: 342,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,524 : 159,712 = 159,712 : x
  2. Step 2: Convert to fraction form
    74,524/159,712 = 159,712/x
  3. Step 3: Cross multiply
    74,524x = 159,712 × 159,712
  4. Step 4: Simplify right side
    74,524x = 25,507,922,944
  5. Step 5: Solve for x
    x = 25,507,922,944/74,524
  6. Step 6: Final answer
    x = 342,277.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.