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Finding the Third Proportional to 66,834 and 93,435

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Solution

The third proportional to 66,834 and 93,435 is: 130,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834 : 93,435 = 93,435 : x
  2. Step 2: Convert to fraction form
    66,834/93,435 = 93,435/x
  3. Step 3: Cross multiply
    66,834x = 93,435 × 93,435
  4. Step 4: Simplify right side
    66,834x = 8,730,099,225
  5. Step 5: Solve for x
    x = 8,730,099,225/66,834
  6. Step 6: Final answer
    x = 130,623.62

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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.