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Finding the Third Proportional to 62,466.19 and 152,953.31

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Solution

The third proportional to 62,466.19 and 152,953.31 is: 374,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,466.19 : 152,953.31 = 152,953.31 : x
  2. Step 2: Convert to fraction form
    62,466.19/152,953.31 = 152,953.31/x
  3. Step 3: Cross multiply
    62,466.19x = 152,953.31 × 152,953.31
  4. Step 4: Simplify right side
    62,466.19x = 23,394,715,804.72
  5. Step 5: Solve for x
    x = 23,394,715,804.72/62,466.19
  6. Step 6: Final answer
    x = 374,518.07

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These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.