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Finding the Third Proportional to 48,788 and 99,304

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Solution

The third proportional to 48,788 and 99,304 is: 202,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,788 : 99,304 = 99,304 : x
  2. Step 2: Convert to fraction form
    48,788/99,304 = 99,304/x
  3. Step 3: Cross multiply
    48,788x = 99,304 × 99,304
  4. Step 4: Simplify right side
    48,788x = 9,861,284,416
  5. Step 5: Solve for x
    x = 9,861,284,416/48,788
  6. Step 6: Final answer
    x = 202,125.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.