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Finding the Third Proportional to 66,999 and 103,693

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Solution

The third proportional to 66,999 and 103,693 is: 160,483.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,999 : 103,693 = 103,693 : x
  2. Step 2: Convert to fraction form
    66,999/103,693 = 103,693/x
  3. Step 3: Cross multiply
    66,999x = 103,693 × 103,693
  4. Step 4: Simplify right side
    66,999x = 10,752,238,249
  5. Step 5: Solve for x
    x = 10,752,238,249/66,999
  6. Step 6: Final answer
    x = 160,483.56

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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.