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Finding the Third Proportional to 42,340 and 86,858

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Solution

The third proportional to 42,340 and 86,858 is: 178,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,340 : 86,858 = 86,858 : x
  2. Step 2: Convert to fraction form
    42,340/86,858 = 86,858/x
  3. Step 3: Cross multiply
    42,340x = 86,858 × 86,858
  4. Step 4: Simplify right side
    42,340x = 7,544,312,164
  5. Step 5: Solve for x
    x = 7,544,312,164/42,340
  6. Step 6: Final answer
    x = 178,184.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.