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Finding the Third Proportional to 92,064 and 189,312

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Solution

The third proportional to 92,064 and 189,312 is: 389,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,064 : 189,312 = 189,312 : x
  2. Step 2: Convert to fraction form
    92,064/189,312 = 189,312/x
  3. Step 3: Cross multiply
    92,064x = 189,312 × 189,312
  4. Step 4: Simplify right side
    92,064x = 35,839,033,344
  5. Step 5: Solve for x
    x = 35,839,033,344/92,064
  6. Step 6: Final answer
    x = 389,283.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.