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Finding the Third Proportional to 94,495.50 and 146,307

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Solution

The third proportional to 94,495.50 and 146,307 is: 226,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,495.50 : 146,307 = 146,307 : x
  2. Step 2: Convert to fraction form
    94,495.50/146,307 = 146,307/x
  3. Step 3: Cross multiply
    94,495.50x = 146,307 × 146,307
  4. Step 4: Simplify right side
    94,495.50x = 21,405,738,249
  5. Step 5: Solve for x
    x = 21,405,738,249/94,495.50
  6. Step 6: Final answer
    x = 226,526.54

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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.