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Finding the Third Proportional to 65,056.50 and 150,596.72

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Solution

The third proportional to 65,056.50 and 150,596.72 is: 348,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056.50 : 150,596.72 = 150,596.72 : x
  2. Step 2: Convert to fraction form
    65,056.50/150,596.72 = 150,596.72/x
  3. Step 3: Cross multiply
    65,056.50x = 150,596.72 × 150,596.72
  4. Step 4: Simplify right side
    65,056.50x = 22,679,371,698.27
  5. Step 5: Solve for x
    x = 22,679,371,698.27/65,056.50
  6. Step 6: Final answer
    x = 348,610.39

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.