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Finding the Third Proportional to 60,414 and 92,212.13

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Solution

The third proportional to 60,414 and 92,212.13 is: 140,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,414 : 92,212.13 = 92,212.13 : x
  2. Step 2: Convert to fraction form
    60,414/92,212.13 = 92,212.13/x
  3. Step 3: Cross multiply
    60,414x = 92,212.13 × 92,212.13
  4. Step 4: Simplify right side
    60,414x = 8,503,075,997.02
  5. Step 5: Solve for x
    x = 8,503,075,997.02/60,414
  6. Step 6: Final answer
    x = 140,746.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.