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Finding the Third Proportional to 94,626 and 146,495

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Solution

The third proportional to 94,626 and 146,495 is: 226,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,626 : 146,495 = 146,495 : x
  2. Step 2: Convert to fraction form
    94,626/146,495 = 146,495/x
  3. Step 3: Cross multiply
    94,626x = 146,495 × 146,495
  4. Step 4: Simplify right side
    94,626x = 21,460,785,025
  5. Step 5: Solve for x
    x = 21,460,785,025/94,626
  6. Step 6: Final answer
    x = 226,795.86

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