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Finding the Third Proportional to 68,335 and 146,703

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Solution

The third proportional to 68,335 and 146,703 is: 314,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,335 : 146,703 = 146,703 : x
  2. Step 2: Convert to fraction form
    68,335/146,703 = 146,703/x
  3. Step 3: Cross multiply
    68,335x = 146,703 × 146,703
  4. Step 4: Simplify right side
    68,335x = 21,521,770,209
  5. Step 5: Solve for x
    x = 21,521,770,209/68,335
  6. Step 6: Final answer
    x = 314,945.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.