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Finding the Third Proportional to 48,768 and 106,842

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Solution

The third proportional to 48,768 and 106,842 is: 234,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,768 : 106,842 = 106,842 : x
  2. Step 2: Convert to fraction form
    48,768/106,842 = 106,842/x
  3. Step 3: Cross multiply
    48,768x = 106,842 × 106,842
  4. Step 4: Simplify right side
    48,768x = 11,415,212,964
  5. Step 5: Solve for x
    x = 11,415,212,964/48,768
  6. Step 6: Final answer
    x = 234,071.79

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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.