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Finding the Third Proportional to 91,456 and 185,456

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Solution

The third proportional to 91,456 and 185,456 is: 376,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,456 : 185,456 = 185,456 : x
  2. Step 2: Convert to fraction form
    91,456/185,456 = 185,456/x
  3. Step 3: Cross multiply
    91,456x = 185,456 × 185,456
  4. Step 4: Simplify right side
    91,456x = 34,393,927,936
  5. Step 5: Solve for x
    x = 34,393,927,936/91,456
  6. Step 6: Final answer
    x = 376,070.77

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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.