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Finding the Third Proportional to 48,729 and 106,386

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Solution

The third proportional to 48,729 and 106,386 is: 232,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,729 : 106,386 = 106,386 : x
  2. Step 2: Convert to fraction form
    48,729/106,386 = 106,386/x
  3. Step 3: Cross multiply
    48,729x = 106,386 × 106,386
  4. Step 4: Simplify right side
    48,729x = 11,317,980,996
  5. Step 5: Solve for x
    x = 11,317,980,996/48,729
  6. Step 6: Final answer
    x = 232,263.76

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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.