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Finding the Third Proportional to 45,852 and 68,778

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Solution

The third proportional to 45,852 and 68,778 is: 103,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,852 : 68,778 = 68,778 : x
  2. Step 2: Convert to fraction form
    45,852/68,778 = 68,778/x
  3. Step 3: Cross multiply
    45,852x = 68,778 × 68,778
  4. Step 4: Simplify right side
    45,852x = 4,730,413,284
  5. Step 5: Solve for x
    x = 4,730,413,284/45,852
  6. Step 6: Final answer
    x = 103,167

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.