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Finding the Third Proportional to 48,630 and 107,466

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Solution

The third proportional to 48,630 and 107,466 is: 237,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,630 : 107,466 = 107,466 : x
  2. Step 2: Convert to fraction form
    48,630/107,466 = 107,466/x
  3. Step 3: Cross multiply
    48,630x = 107,466 × 107,466
  4. Step 4: Simplify right side
    48,630x = 11,548,941,156
  5. Step 5: Solve for x
    x = 11,548,941,156/48,630
  6. Step 6: Final answer
    x = 237,485.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.