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Finding the Third Proportional to 74,214 and 113,772

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Solution

The third proportional to 74,214 and 113,772 is: 174,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,214 : 113,772 = 113,772 : x
  2. Step 2: Convert to fraction form
    74,214/113,772 = 113,772/x
  3. Step 3: Cross multiply
    74,214x = 113,772 × 113,772
  4. Step 4: Simplify right side
    74,214x = 12,944,067,984
  5. Step 5: Solve for x
    x = 12,944,067,984/74,214
  6. Step 6: Final answer
    x = 174,415.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.