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Finding the Third Proportional to 59,834 and 92,910

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Solution

The third proportional to 59,834 and 92,910 is: 144,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,834 : 92,910 = 92,910 : x
  2. Step 2: Convert to fraction form
    59,834/92,910 = 92,910/x
  3. Step 3: Cross multiply
    59,834x = 92,910 × 92,910
  4. Step 4: Simplify right side
    59,834x = 8,632,268,100
  5. Step 5: Solve for x
    x = 8,632,268,100/59,834
  6. Step 6: Final answer
    x = 144,270.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.