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Finding the Third Proportional to 64,192 and 98,454

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Solution

The third proportional to 64,192 and 98,454 is: 151,003.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,192 : 98,454 = 98,454 : x
  2. Step 2: Convert to fraction form
    64,192/98,454 = 98,454/x
  3. Step 3: Cross multiply
    64,192x = 98,454 × 98,454
  4. Step 4: Simplify right side
    64,192x = 9,693,190,116
  5. Step 5: Solve for x
    x = 9,693,190,116/64,192
  6. Step 6: Final answer
    x = 151,003.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.