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Finding the Third Proportional to 68,886 and 148,788

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Solution

The third proportional to 68,886 and 148,788 is: 321,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,886 : 148,788 = 148,788 : x
  2. Step 2: Convert to fraction form
    68,886/148,788 = 148,788/x
  3. Step 3: Cross multiply
    68,886x = 148,788 × 148,788
  4. Step 4: Simplify right side
    68,886x = 22,137,868,944
  5. Step 5: Solve for x
    x = 22,137,868,944/68,886
  6. Step 6: Final answer
    x = 321,369.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.