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Finding the Third Proportional to 94,569 and 146,629.50

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Solution

The third proportional to 94,569 and 146,629.50 is: 227,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,569 : 146,629.50 = 146,629.50 : x
  2. Step 2: Convert to fraction form
    94,569/146,629.50 = 146,629.50/x
  3. Step 3: Cross multiply
    94,569x = 146,629.50 × 146,629.50
  4. Step 4: Simplify right side
    94,569x = 21,500,210,270.25
  5. Step 5: Solve for x
    x = 21,500,210,270.25/94,569
  6. Step 6: Final answer
    x = 227,349.45

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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.