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Finding the Third Proportional to 61,200 and 93,611

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Solution

The third proportional to 61,200 and 93,611 is: 143,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,200 : 93,611 = 93,611 : x
  2. Step 2: Convert to fraction form
    61,200/93,611 = 93,611/x
  3. Step 3: Cross multiply
    61,200x = 93,611 × 93,611
  4. Step 4: Simplify right side
    61,200x = 8,763,019,321
  5. Step 5: Solve for x
    x = 8,763,019,321/61,200
  6. Step 6: Final answer
    x = 143,186.59

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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.