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Finding the Third Proportional to 66,976 and 103,613

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Solution

The third proportional to 66,976 and 103,613 is: 160,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,976 : 103,613 = 103,613 : x
  2. Step 2: Convert to fraction form
    66,976/103,613 = 103,613/x
  3. Step 3: Cross multiply
    66,976x = 103,613 × 103,613
  4. Step 4: Simplify right side
    66,976x = 10,735,653,769
  5. Step 5: Solve for x
    x = 10,735,653,769/66,976
  6. Step 6: Final answer
    x = 160,291.06

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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.