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Finding the Third Proportional to 60,780 and 92,010

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Solution

The third proportional to 60,780 and 92,010 is: 139,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,780 : 92,010 = 92,010 : x
  2. Step 2: Convert to fraction form
    60,780/92,010 = 92,010/x
  3. Step 3: Cross multiply
    60,780x = 92,010 × 92,010
  4. Step 4: Simplify right side
    60,780x = 8,465,840,100
  5. Step 5: Solve for x
    x = 8,465,840,100/60,780
  6. Step 6: Final answer
    x = 139,286.61

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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.