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Finding the Third Proportional to 45,618 and 68,121

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Solution

The third proportional to 45,618 and 68,121 is: 101,724.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,618 : 68,121 = 68,121 : x
  2. Step 2: Convert to fraction form
    45,618/68,121 = 68,121/x
  3. Step 3: Cross multiply
    45,618x = 68,121 × 68,121
  4. Step 4: Simplify right side
    45,618x = 4,640,470,641
  5. Step 5: Solve for x
    x = 4,640,470,641/45,618
  6. Step 6: Final answer
    x = 101,724.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.