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Finding the Third Proportional to 65,518 and 100,713

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Solution

The third proportional to 65,518 and 100,713 is: 154,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,518 : 100,713 = 100,713 : x
  2. Step 2: Convert to fraction form
    65,518/100,713 = 100,713/x
  3. Step 3: Cross multiply
    65,518x = 100,713 × 100,713
  4. Step 4: Simplify right side
    65,518x = 10,143,108,369
  5. Step 5: Solve for x
    x = 10,143,108,369/65,518
  6. Step 6: Final answer
    x = 154,814.07

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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.