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Finding the Third Proportional to 76,718 and 158,764

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Solution

The third proportional to 76,718 and 158,764 is: 328,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,718 : 158,764 = 158,764 : x
  2. Step 2: Convert to fraction form
    76,718/158,764 = 158,764/x
  3. Step 3: Cross multiply
    76,718x = 158,764 × 158,764
  4. Step 4: Simplify right side
    76,718x = 25,206,007,696
  5. Step 5: Solve for x
    x = 25,206,007,696/76,718
  6. Step 6: Final answer
    x = 328,554.03

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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.