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Finding the Third Proportional to 42,714 and 68,628

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Solution

The third proportional to 42,714 and 68,628 is: 110,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714 : 68,628 = 68,628 : x
  2. Step 2: Convert to fraction form
    42,714/68,628 = 68,628/x
  3. Step 3: Cross multiply
    42,714x = 68,628 × 68,628
  4. Step 4: Simplify right side
    42,714x = 4,709,802,384
  5. Step 5: Solve for x
    x = 4,709,802,384/42,714
  6. Step 6: Final answer
    x = 110,263.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.