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Finding the Third Proportional to 48,900 and 107,304

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Solution

The third proportional to 48,900 and 107,304 is: 235,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,900 : 107,304 = 107,304 : x
  2. Step 2: Convert to fraction form
    48,900/107,304 = 107,304/x
  3. Step 3: Cross multiply
    48,900x = 107,304 × 107,304
  4. Step 4: Simplify right side
    48,900x = 11,514,148,416
  5. Step 5: Solve for x
    x = 11,514,148,416/48,900
  6. Step 6: Final answer
    x = 235,463.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.