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Finding the Third Proportional to 92,064 and 197,248

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Solution

The third proportional to 92,064 and 197,248 is: 422,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,064 : 197,248 = 197,248 : x
  2. Step 2: Convert to fraction form
    92,064/197,248 = 197,248/x
  3. Step 3: Cross multiply
    92,064x = 197,248 × 197,248
  4. Step 4: Simplify right side
    92,064x = 38,906,773,504
  5. Step 5: Solve for x
    x = 38,906,773,504/92,064
  6. Step 6: Final answer
    x = 422,605.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.