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Finding the Third Proportional to 61,224 and 92,760

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Solution

The third proportional to 61,224 and 92,760 is: 140,539.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,224 : 92,760 = 92,760 : x
  2. Step 2: Convert to fraction form
    61,224/92,760 = 92,760/x
  3. Step 3: Cross multiply
    61,224x = 92,760 × 92,760
  4. Step 4: Simplify right side
    61,224x = 8,604,417,600
  5. Step 5: Solve for x
    x = 8,604,417,600/61,224
  6. Step 6: Final answer
    x = 140,539.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.