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Finding the Third Proportional to 45,692 and 68,159

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Solution

The third proportional to 45,692 and 68,159 is: 101,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,692 : 68,159 = 68,159 : x
  2. Step 2: Convert to fraction form
    45,692/68,159 = 68,159/x
  3. Step 3: Cross multiply
    45,692x = 68,159 × 68,159
  4. Step 4: Simplify right side
    45,692x = 4,645,649,281
  5. Step 5: Solve for x
    x = 4,645,649,281/45,692
  6. Step 6: Final answer
    x = 101,673.14

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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.