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Finding the Third Proportional to 66,834 and 93,443

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Solution

The third proportional to 66,834 and 93,443 is: 130,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834 : 93,443 = 93,443 : x
  2. Step 2: Convert to fraction form
    66,834/93,443 = 93,443/x
  3. Step 3: Cross multiply
    66,834x = 93,443 × 93,443
  4. Step 4: Simplify right side
    66,834x = 8,731,594,249
  5. Step 5: Solve for x
    x = 8,731,594,249/66,834
  6. Step 6: Final answer
    x = 130,645.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.