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Finding the Third Proportional to 96,298 and 138,708

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Solution

The third proportional to 96,298 and 138,708 is: 199,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,298 : 138,708 = 138,708 : x
  2. Step 2: Convert to fraction form
    96,298/138,708 = 138,708/x
  3. Step 3: Cross multiply
    96,298x = 138,708 × 138,708
  4. Step 4: Simplify right side
    96,298x = 19,239,909,264
  5. Step 5: Solve for x
    x = 19,239,909,264/96,298
  6. Step 6: Final answer
    x = 199,795.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.