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Finding the Third Proportional to 92,004 and 197,124

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Solution

The third proportional to 92,004 and 197,124 is: 422,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,004 : 197,124 = 197,124 : x
  2. Step 2: Convert to fraction form
    92,004/197,124 = 197,124/x
  3. Step 3: Cross multiply
    92,004x = 197,124 × 197,124
  4. Step 4: Simplify right side
    92,004x = 38,857,871,376
  5. Step 5: Solve for x
    x = 38,857,871,376/92,004
  6. Step 6: Final answer
    x = 422,349.80

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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.