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Finding the Third Proportional to 34,501 and 80,627

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Solution

The third proportional to 34,501 and 80,627 is: 188,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,501 : 80,627 = 80,627 : x
  2. Step 2: Convert to fraction form
    34,501/80,627 = 80,627/x
  3. Step 3: Cross multiply
    34,501x = 80,627 × 80,627
  4. Step 4: Simplify right side
    34,501x = 6,500,713,129
  5. Step 5: Solve for x
    x = 6,500,713,129/34,501
  6. Step 6: Final answer
    x = 188,421.01

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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.