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Finding the Third Proportional to 79,335 and 173,142

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Solution

The third proportional to 79,335 and 173,142 is: 377,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,335 : 173,142 = 173,142 : x
  2. Step 2: Convert to fraction form
    79,335/173,142 = 173,142/x
  3. Step 3: Cross multiply
    79,335x = 173,142 × 173,142
  4. Step 4: Simplify right side
    79,335x = 29,978,152,164
  5. Step 5: Solve for x
    x = 29,978,152,164/79,335
  6. Step 6: Final answer
    x = 377,867.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.