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Finding the Third Proportional to 91,076 and 197,704

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Solution

The third proportional to 91,076 and 197,704 is: 429,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,076 : 197,704 = 197,704 : x
  2. Step 2: Convert to fraction form
    91,076/197,704 = 197,704/x
  3. Step 3: Cross multiply
    91,076x = 197,704 × 197,704
  4. Step 4: Simplify right side
    91,076x = 39,086,871,616
  5. Step 5: Solve for x
    x = 39,086,871,616/91,076
  6. Step 6: Final answer
    x = 429,167.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.