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Finding the Third Proportional to 43,335 and 93,137

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Solution

The third proportional to 43,335 and 93,137 is: 200,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,335 : 93,137 = 93,137 : x
  2. Step 2: Convert to fraction form
    43,335/93,137 = 93,137/x
  3. Step 3: Cross multiply
    43,335x = 93,137 × 93,137
  4. Step 4: Simplify right side
    43,335x = 8,674,500,769
  5. Step 5: Solve for x
    x = 8,674,500,769/43,335
  6. Step 6: Final answer
    x = 200,173.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.