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Finding the Third Proportional to 66,983 and 103,716

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Solution

The third proportional to 66,983 and 103,716 is: 160,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,983 : 103,716 = 103,716 : x
  2. Step 2: Convert to fraction form
    66,983/103,716 = 103,716/x
  3. Step 3: Cross multiply
    66,983x = 103,716 × 103,716
  4. Step 4: Simplify right side
    66,983x = 10,757,008,656
  5. Step 5: Solve for x
    x = 10,757,008,656/66,983
  6. Step 6: Final answer
    x = 160,593.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.