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Finding the Third Proportional to 60,584 and 92,796

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Solution

The third proportional to 60,584 and 92,796 is: 142,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,584 : 92,796 = 92,796 : x
  2. Step 2: Convert to fraction form
    60,584/92,796 = 92,796/x
  3. Step 3: Cross multiply
    60,584x = 92,796 × 92,796
  4. Step 4: Simplify right side
    60,584x = 8,611,097,616
  5. Step 5: Solve for x
    x = 8,611,097,616/60,584
  6. Step 6: Final answer
    x = 142,134.85

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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.