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Finding the Third Proportional to 92,044 and 189,960

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Solution

The third proportional to 92,044 and 189,960 is: 392,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,044 : 189,960 = 189,960 : x
  2. Step 2: Convert to fraction form
    92,044/189,960 = 189,960/x
  3. Step 3: Cross multiply
    92,044x = 189,960 × 189,960
  4. Step 4: Simplify right side
    92,044x = 36,084,801,600
  5. Step 5: Solve for x
    x = 36,084,801,600/92,044
  6. Step 6: Final answer
    x = 392,038.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.