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Finding the Third Proportional to 76,468.50 and 158,313

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Solution

The third proportional to 76,468.50 and 158,313 is: 327,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,468.50 : 158,313 = 158,313 : x
  2. Step 2: Convert to fraction form
    76,468.50/158,313 = 158,313/x
  3. Step 3: Cross multiply
    76,468.50x = 158,313 × 158,313
  4. Step 4: Simplify right side
    76,468.50x = 25,063,005,969
  5. Step 5: Solve for x
    x = 25,063,005,969/76,468.50
  6. Step 6: Final answer
    x = 327,755.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.