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Finding the Third Proportional to 34,102.69 and 79,656.75

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Solution

The third proportional to 34,102.69 and 79,656.75 is: 186,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.69 : 79,656.75 = 79,656.75 : x
  2. Step 2: Convert to fraction form
    34,102.69/79,656.75 = 79,656.75/x
  3. Step 3: Cross multiply
    34,102.69x = 79,656.75 × 79,656.75
  4. Step 4: Simplify right side
    34,102.69x = 6,345,197,820.56
  5. Step 5: Solve for x
    x = 6,345,197,820.56/34,102.69
  6. Step 6: Final answer
    x = 186,061.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.