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Finding the Third Proportional to 67,326 and 145,798

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Solution

The third proportional to 67,326 and 145,798 is: 315,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,326 : 145,798 = 145,798 : x
  2. Step 2: Convert to fraction form
    67,326/145,798 = 145,798/x
  3. Step 3: Cross multiply
    67,326x = 145,798 × 145,798
  4. Step 4: Simplify right side
    67,326x = 21,257,056,804
  5. Step 5: Solve for x
    x = 21,257,056,804/67,326
  6. Step 6: Final answer
    x = 315,733.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.