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Finding the Third Proportional to 104,295 and 149,334

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Solution

The third proportional to 104,295 and 149,334 is: 213,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,295 : 149,334 = 149,334 : x
  2. Step 2: Convert to fraction form
    104,295/149,334 = 149,334/x
  3. Step 3: Cross multiply
    104,295x = 149,334 × 149,334
  4. Step 4: Simplify right side
    104,295x = 22,300,643,556
  5. Step 5: Solve for x
    x = 22,300,643,556/104,295
  6. Step 6: Final answer
    x = 213,822.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.