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Finding the Third Proportional to 64,898 and 94,883

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Solution

The third proportional to 64,898 and 94,883 is: 138,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,898 : 94,883 = 94,883 : x
  2. Step 2: Convert to fraction form
    64,898/94,883 = 94,883/x
  3. Step 3: Cross multiply
    64,898x = 94,883 × 94,883
  4. Step 4: Simplify right side
    64,898x = 9,002,783,689
  5. Step 5: Solve for x
    x = 9,002,783,689/64,898
  6. Step 6: Final answer
    x = 138,722.05

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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.