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Finding the Third Proportional to 103,334 and 146,257

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Solution

The third proportional to 103,334 and 146,257 is: 207,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,334 : 146,257 = 146,257 : x
  2. Step 2: Convert to fraction form
    103,334/146,257 = 146,257/x
  3. Step 3: Cross multiply
    103,334x = 146,257 × 146,257
  4. Step 4: Simplify right side
    103,334x = 21,391,110,049
  5. Step 5: Solve for x
    x = 21,391,110,049/103,334
  6. Step 6: Final answer
    x = 207,009.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.