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Finding the Third Proportional to 103,345 and 146,274

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Solution

The third proportional to 103,345 and 146,274 is: 207,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,345 : 146,274 = 146,274 : x
  2. Step 2: Convert to fraction form
    103,345/146,274 = 146,274/x
  3. Step 3: Cross multiply
    103,345x = 146,274 × 146,274
  4. Step 4: Simplify right side
    103,345x = 21,396,083,076
  5. Step 5: Solve for x
    x = 21,396,083,076/103,345
  6. Step 6: Final answer
    x = 207,035.49

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