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Finding the Third Proportional to 94,571 and 146,633

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Solution

The third proportional to 94,571 and 146,633 is: 227,355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,571 : 146,633 = 146,633 : x
  2. Step 2: Convert to fraction form
    94,571/146,633 = 146,633/x
  3. Step 3: Cross multiply
    94,571x = 146,633 × 146,633
  4. Step 4: Simplify right side
    94,571x = 21,501,236,689
  5. Step 5: Solve for x
    x = 21,501,236,689/94,571
  6. Step 6: Final answer
    x = 227,355.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.