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Finding the Third Proportional to 66,314 and 102,684

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Solution

The third proportional to 66,314 and 102,684 is: 159,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,314 : 102,684 = 102,684 : x
  2. Step 2: Convert to fraction form
    66,314/102,684 = 102,684/x
  3. Step 3: Cross multiply
    66,314x = 102,684 × 102,684
  4. Step 4: Simplify right side
    66,314x = 10,544,003,856
  5. Step 5: Solve for x
    x = 10,544,003,856/66,314
  6. Step 6: Final answer
    x = 159,001.17

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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.