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Finding the Third Proportional to 43,101 and 94,187

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Solution

The third proportional to 43,101 and 94,187 is: 205,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,101 : 94,187 = 94,187 : x
  2. Step 2: Convert to fraction form
    43,101/94,187 = 94,187/x
  3. Step 3: Cross multiply
    43,101x = 94,187 × 94,187
  4. Step 4: Simplify right side
    43,101x = 8,871,190,969
  5. Step 5: Solve for x
    x = 8,871,190,969/43,101
  6. Step 6: Final answer
    x = 205,823.32

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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.