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Finding the Third Proportional to 64,164 and 98,751

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Solution

The third proportional to 64,164 and 98,751 is: 151,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,164 : 98,751 = 98,751 : x
  2. Step 2: Convert to fraction form
    64,164/98,751 = 98,751/x
  3. Step 3: Cross multiply
    64,164x = 98,751 × 98,751
  4. Step 4: Simplify right side
    64,164x = 9,751,760,001
  5. Step 5: Solve for x
    x = 9,751,760,001/64,164
  6. Step 6: Final answer
    x = 151,981.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.