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Finding the Third Proportional to 66,970 and 103,696

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Solution

The third proportional to 66,970 and 103,696 is: 160,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,970 : 103,696 = 103,696 : x
  2. Step 2: Convert to fraction form
    66,970/103,696 = 103,696/x
  3. Step 3: Cross multiply
    66,970x = 103,696 × 103,696
  4. Step 4: Simplify right side
    66,970x = 10,752,860,416
  5. Step 5: Solve for x
    x = 10,752,860,416/66,970
  6. Step 6: Final answer
    x = 160,562.35

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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.