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Finding the Third Proportional to 45,276 and 97,494

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Solution

The third proportional to 45,276 and 97,494 is: 209,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,276 : 97,494 = 97,494 : x
  2. Step 2: Convert to fraction form
    45,276/97,494 = 97,494/x
  3. Step 3: Cross multiply
    45,276x = 97,494 × 97,494
  4. Step 4: Simplify right side
    45,276x = 9,505,080,036
  5. Step 5: Solve for x
    x = 9,505,080,036/45,276
  6. Step 6: Final answer
    x = 209,936.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.