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Finding the Third Proportional to 67,545 and 146,628

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Solution

The third proportional to 67,545 and 146,628 is: 318,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,545 : 146,628 = 146,628 : x
  2. Step 2: Convert to fraction form
    67,545/146,628 = 146,628/x
  3. Step 3: Cross multiply
    67,545x = 146,628 × 146,628
  4. Step 4: Simplify right side
    67,545x = 21,499,770,384
  5. Step 5: Solve for x
    x = 21,499,770,384/67,545
  6. Step 6: Final answer
    x = 318,302.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.