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Finding the Third Proportional to 74,396 and 104,298

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Solution

The third proportional to 74,396 and 104,298 is: 146,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,396 : 104,298 = 104,298 : x
  2. Step 2: Convert to fraction form
    74,396/104,298 = 104,298/x
  3. Step 3: Cross multiply
    74,396x = 104,298 × 104,298
  4. Step 4: Simplify right side
    74,396x = 10,878,072,804
  5. Step 5: Solve for x
    x = 10,878,072,804/74,396
  6. Step 6: Final answer
    x = 146,218.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.