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Finding the Third Proportional to 94,604 and 146,494

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Solution

The third proportional to 94,604 and 146,494 is: 226,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,604 : 146,494 = 146,494 : x
  2. Step 2: Convert to fraction form
    94,604/146,494 = 146,494/x
  3. Step 3: Cross multiply
    94,604x = 146,494 × 146,494
  4. Step 4: Simplify right side
    94,604x = 21,460,492,036
  5. Step 5: Solve for x
    x = 21,460,492,036/94,604
  6. Step 6: Final answer
    x = 226,845.50

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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.