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Finding the Third Proportional to 34,502 and 75,319

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Solution

The third proportional to 34,502 and 75,319 is: 164,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502 : 75,319 = 75,319 : x
  2. Step 2: Convert to fraction form
    34,502/75,319 = 75,319/x
  3. Step 3: Cross multiply
    34,502x = 75,319 × 75,319
  4. Step 4: Simplify right side
    34,502x = 5,672,951,761
  5. Step 5: Solve for x
    x = 5,672,951,761/34,502
  6. Step 6: Final answer
    x = 164,423.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.