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Finding the Third Proportional to 73,734 and 113,487

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Solution

The third proportional to 73,734 and 113,487 is: 174,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,734 : 113,487 = 113,487 : x
  2. Step 2: Convert to fraction form
    73,734/113,487 = 113,487/x
  3. Step 3: Cross multiply
    73,734x = 113,487 × 113,487
  4. Step 4: Simplify right side
    73,734x = 12,879,299,169
  5. Step 5: Solve for x
    x = 12,879,299,169/73,734
  6. Step 6: Final answer
    x = 174,672.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.