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Finding the Third Proportional to 43,169 and 93,718

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Solution

The third proportional to 43,169 and 93,718 is: 203,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,169 : 93,718 = 93,718 : x
  2. Step 2: Convert to fraction form
    43,169/93,718 = 93,718/x
  3. Step 3: Cross multiply
    43,169x = 93,718 × 93,718
  4. Step 4: Simplify right side
    43,169x = 8,783,063,524
  5. Step 5: Solve for x
    x = 8,783,063,524/43,169
  6. Step 6: Final answer
    x = 203,457.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.