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Finding the Third Proportional to 48,654 and 106,113

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Solution

The third proportional to 48,654 and 106,113 is: 231,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,654 : 106,113 = 106,113 : x
  2. Step 2: Convert to fraction form
    48,654/106,113 = 106,113/x
  3. Step 3: Cross multiply
    48,654x = 106,113 × 106,113
  4. Step 4: Simplify right side
    48,654x = 11,259,968,769
  5. Step 5: Solve for x
    x = 11,259,968,769/48,654
  6. Step 6: Final answer
    x = 231,429.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.