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Finding the Third Proportional to 34,402 and 80,437

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Solution

The third proportional to 34,402 and 80,437 is: 188,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,402 : 80,437 = 80,437 : x
  2. Step 2: Convert to fraction form
    34,402/80,437 = 80,437/x
  3. Step 3: Cross multiply
    34,402x = 80,437 × 80,437
  4. Step 4: Simplify right side
    34,402x = 6,470,110,969
  5. Step 5: Solve for x
    x = 6,470,110,969/34,402
  6. Step 6: Final answer
    x = 188,073.69

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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.