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Finding the Third Proportional to 94,945 and 147,601.50

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Solution

The third proportional to 94,945 and 147,601.50 is: 229,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,945 : 147,601.50 = 147,601.50 : x
  2. Step 2: Convert to fraction form
    94,945/147,601.50 = 147,601.50/x
  3. Step 3: Cross multiply
    94,945x = 147,601.50 × 147,601.50
  4. Step 4: Simplify right side
    94,945x = 21,786,202,802.25
  5. Step 5: Solve for x
    x = 21,786,202,802.25/94,945
  6. Step 6: Final answer
    x = 229,461.30

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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.