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Finding the Third Proportional to 48,531 and 102,894

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Solution

The third proportional to 48,531 and 102,894 is: 218,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,531 : 102,894 = 102,894 : x
  2. Step 2: Convert to fraction form
    48,531/102,894 = 102,894/x
  3. Step 3: Cross multiply
    48,531x = 102,894 × 102,894
  4. Step 4: Simplify right side
    48,531x = 10,587,175,236
  5. Step 5: Solve for x
    x = 10,587,175,236/48,531
  6. Step 6: Final answer
    x = 218,152.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.