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Finding the Third Proportional to 66,334 and 102,714

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Solution

The third proportional to 66,334 and 102,714 is: 159,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,334 : 102,714 = 102,714 : x
  2. Step 2: Convert to fraction form
    66,334/102,714 = 102,714/x
  3. Step 3: Cross multiply
    66,334x = 102,714 × 102,714
  4. Step 4: Simplify right side
    66,334x = 10,550,165,796
  5. Step 5: Solve for x
    x = 10,550,165,796/66,334
  6. Step 6: Final answer
    x = 159,046.13

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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.