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Finding the Third Proportional to 67,296 and 98,023

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Solution

The third proportional to 67,296 and 98,023 is: 142,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296 : 98,023 = 98,023 : x
  2. Step 2: Convert to fraction form
    67,296/98,023 = 98,023/x
  3. Step 3: Cross multiply
    67,296x = 98,023 × 98,023
  4. Step 4: Simplify right side
    67,296x = 9,608,508,529
  5. Step 5: Solve for x
    x = 9,608,508,529/67,296
  6. Step 6: Final answer
    x = 142,779.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.