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Finding the Third Proportional to 118,542 and 173,313

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Solution

The third proportional to 118,542 and 173,313 is: 253,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,542 : 173,313 = 173,313 : x
  2. Step 2: Convert to fraction form
    118,542/173,313 = 173,313/x
  3. Step 3: Cross multiply
    118,542x = 173,313 × 173,313
  4. Step 4: Simplify right side
    118,542x = 30,037,395,969
  5. Step 5: Solve for x
    x = 30,037,395,969/118,542
  6. Step 6: Final answer
    x = 253,390.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.