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Finding the Third Proportional to 85,846.50 and 130,525.50

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Solution

The third proportional to 85,846.50 and 130,525.50 is: 198,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,846.50 : 130,525.50 = 130,525.50 : x
  2. Step 2: Convert to fraction form
    85,846.50/130,525.50 = 130,525.50/x
  3. Step 3: Cross multiply
    85,846.50x = 130,525.50 × 130,525.50
  4. Step 4: Simplify right side
    85,846.50x = 17,036,906,150.25
  5. Step 5: Solve for x
    x = 17,036,906,150.25/85,846.50
  6. Step 6: Final answer
    x = 198,457.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.