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Finding the Third Proportional to 111,539.81 and 167,558.06

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Solution

The third proportional to 111,539.81 and 167,558.06 is: 251,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,539.81 : 167,558.06 = 167,558.06 : x
  2. Step 2: Convert to fraction form
    111,539.81/167,558.06 = 167,558.06/x
  3. Step 3: Cross multiply
    111,539.81x = 167,558.06 × 167,558.06
  4. Step 4: Simplify right side
    111,539.81x = 28,075,704,308.75
  5. Step 5: Solve for x
    x = 28,075,704,308.75/111,539.81
  6. Step 6: Final answer
    x = 251,710.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.