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Finding the Third Proportional to 42,714 and 93,735

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Solution

The third proportional to 42,714 and 93,735 is: 205,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714 : 93,735 = 93,735 : x
  2. Step 2: Convert to fraction form
    42,714/93,735 = 93,735/x
  3. Step 3: Cross multiply
    42,714x = 93,735 × 93,735
  4. Step 4: Simplify right side
    42,714x = 8,786,250,225
  5. Step 5: Solve for x
    x = 8,786,250,225/42,714
  6. Step 6: Final answer
    x = 205,699.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.