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Finding the Third Proportional to 43,234 and 93,139

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Solution

The third proportional to 43,234 and 93,139 is: 200,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,234 : 93,139 = 93,139 : x
  2. Step 2: Convert to fraction form
    43,234/93,139 = 93,139/x
  3. Step 3: Cross multiply
    43,234x = 93,139 × 93,139
  4. Step 4: Simplify right side
    43,234x = 8,674,873,321
  5. Step 5: Solve for x
    x = 8,674,873,321/43,234
  6. Step 6: Final answer
    x = 200,649.33

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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.