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Finding the Third Proportional to 48,616 and 106,229

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Solution

The third proportional to 48,616 and 106,229 is: 232,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,616 : 106,229 = 106,229 : x
  2. Step 2: Convert to fraction form
    48,616/106,229 = 106,229/x
  3. Step 3: Cross multiply
    48,616x = 106,229 × 106,229
  4. Step 4: Simplify right side
    48,616x = 11,284,600,441
  5. Step 5: Solve for x
    x = 11,284,600,441/48,616
  6. Step 6: Final answer
    x = 232,117.01

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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.