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Finding the Third Proportional to 79,310 and 173,848

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Solution

The third proportional to 79,310 and 173,848 is: 381,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,310 : 173,848 = 173,848 : x
  2. Step 2: Convert to fraction form
    79,310/173,848 = 173,848/x
  3. Step 3: Cross multiply
    79,310x = 173,848 × 173,848
  4. Step 4: Simplify right side
    79,310x = 30,223,127,104
  5. Step 5: Solve for x
    x = 30,223,127,104/79,310
  6. Step 6: Final answer
    x = 381,075.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.