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Finding the Third Proportional to 48,102 and 106,586

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Solution

The third proportional to 48,102 and 106,586 is: 236,176.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,102 : 106,586 = 106,586 : x
  2. Step 2: Convert to fraction form
    48,102/106,586 = 106,586/x
  3. Step 3: Cross multiply
    48,102x = 106,586 × 106,586
  4. Step 4: Simplify right side
    48,102x = 11,360,575,396
  5. Step 5: Solve for x
    x = 11,360,575,396/48,102
  6. Step 6: Final answer
    x = 236,176.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.