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Finding the Third Proportional to 79,308 and 176,112

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Solution

The third proportional to 79,308 and 176,112 is: 391,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,308 : 176,112 = 176,112 : x
  2. Step 2: Convert to fraction form
    79,308/176,112 = 176,112/x
  3. Step 3: Cross multiply
    79,308x = 176,112 × 176,112
  4. Step 4: Simplify right side
    79,308x = 31,015,436,544
  5. Step 5: Solve for x
    x = 31,015,436,544/79,308
  6. Step 6: Final answer
    x = 391,075.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.