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Finding the Third Proportional to 91,472 and 185,488

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Solution

The third proportional to 91,472 and 185,488 is: 376,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,472 : 185,488 = 185,488 : x
  2. Step 2: Convert to fraction form
    91,472/185,488 = 185,488/x
  3. Step 3: Cross multiply
    91,472x = 185,488 × 185,488
  4. Step 4: Simplify right side
    91,472x = 34,405,798,144
  5. Step 5: Solve for x
    x = 34,405,798,144/91,472
  6. Step 6: Final answer
    x = 376,134.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.