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Finding the Third Proportional to 85,434 and 131,495

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Solution

The third proportional to 85,434 and 131,495 is: 202,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,434 : 131,495 = 131,495 : x
  2. Step 2: Convert to fraction form
    85,434/131,495 = 131,495/x
  3. Step 3: Cross multiply
    85,434x = 131,495 × 131,495
  4. Step 4: Simplify right side
    85,434x = 17,290,935,025
  5. Step 5: Solve for x
    x = 17,290,935,025/85,434
  6. Step 6: Final answer
    x = 202,389.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.