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Finding the Third Proportional to 60,775 and 92,001

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Solution

The third proportional to 60,775 and 92,001 is: 139,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,775 : 92,001 = 92,001 : x
  2. Step 2: Convert to fraction form
    60,775/92,001 = 92,001/x
  3. Step 3: Cross multiply
    60,775x = 92,001 × 92,001
  4. Step 4: Simplify right side
    60,775x = 8,464,184,001
  5. Step 5: Solve for x
    x = 8,464,184,001/60,775
  6. Step 6: Final answer
    x = 139,270.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.