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Finding the Third Proportional to 39,101 and 92,283

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Solution

The third proportional to 39,101 and 92,283 is: 217,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,101 : 92,283 = 92,283 : x
  2. Step 2: Convert to fraction form
    39,101/92,283 = 92,283/x
  3. Step 3: Cross multiply
    39,101x = 92,283 × 92,283
  4. Step 4: Simplify right side
    39,101x = 8,516,152,089
  5. Step 5: Solve for x
    x = 8,516,152,089/39,101
  6. Step 6: Final answer
    x = 217,798.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.