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Finding the Third Proportional to 61,661 and 92,323

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Solution

The third proportional to 61,661 and 92,323 is: 138,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,661 : 92,323 = 92,323 : x
  2. Step 2: Convert to fraction form
    61,661/92,323 = 92,323/x
  3. Step 3: Cross multiply
    61,661x = 92,323 × 92,323
  4. Step 4: Simplify right side
    61,661x = 8,523,536,329
  5. Step 5: Solve for x
    x = 8,523,536,329/61,661
  6. Step 6: Final answer
    x = 138,232.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.