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Finding the Third Proportional to 48,104 and 82,536

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Solution

The third proportional to 48,104 and 82,536 is: 141,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,104 : 82,536 = 82,536 : x
  2. Step 2: Convert to fraction form
    48,104/82,536 = 82,536/x
  3. Step 3: Cross multiply
    48,104x = 82,536 × 82,536
  4. Step 4: Simplify right side
    48,104x = 6,812,191,296
  5. Step 5: Solve for x
    x = 6,812,191,296/48,104
  6. Step 6: Final answer
    x = 141,613.82

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.