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Finding the Third Proportional to 44,071 and 93,165

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Solution

The third proportional to 44,071 and 93,165 is: 196,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,071 : 93,165 = 93,165 : x
  2. Step 2: Convert to fraction form
    44,071/93,165 = 93,165/x
  3. Step 3: Cross multiply
    44,071x = 93,165 × 93,165
  4. Step 4: Simplify right side
    44,071x = 8,679,717,225
  5. Step 5: Solve for x
    x = 8,679,717,225/44,071
  6. Step 6: Final answer
    x = 196,948.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.