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Finding the Third Proportional to 91,574 and 192,988

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Solution

The third proportional to 91,574 and 192,988 is: 406,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,574 : 192,988 = 192,988 : x
  2. Step 2: Convert to fraction form
    91,574/192,988 = 192,988/x
  3. Step 3: Cross multiply
    91,574x = 192,988 × 192,988
  4. Step 4: Simplify right side
    91,574x = 37,244,368,144
  5. Step 5: Solve for x
    x = 37,244,368,144/91,574
  6. Step 6: Final answer
    x = 406,713.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.