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Finding the Third Proportional to 45,144 and 68,862

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Solution

The third proportional to 45,144 and 68,862 is: 105,041.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,144 : 68,862 = 68,862 : x
  2. Step 2: Convert to fraction form
    45,144/68,862 = 68,862/x
  3. Step 3: Cross multiply
    45,144x = 68,862 × 68,862
  4. Step 4: Simplify right side
    45,144x = 4,741,975,044
  5. Step 5: Solve for x
    x = 4,741,975,044/45,144
  6. Step 6: Final answer
    x = 105,041.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.