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Finding the Third Proportional to 48,776 and 106,858

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Solution

The third proportional to 48,776 and 106,858 is: 234,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,776 : 106,858 = 106,858 : x
  2. Step 2: Convert to fraction form
    48,776/106,858 = 106,858/x
  3. Step 3: Cross multiply
    48,776x = 106,858 × 106,858
  4. Step 4: Simplify right side
    48,776x = 11,418,632,164
  5. Step 5: Solve for x
    x = 11,418,632,164/48,776
  6. Step 6: Final answer
    x = 234,103.50

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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.