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Finding the Third Proportional to 72,089.63 and 110,958

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Solution

The third proportional to 72,089.63 and 110,958 is: 170,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,089.63 : 110,958 = 110,958 : x
  2. Step 2: Convert to fraction form
    72,089.63/110,958 = 110,958/x
  3. Step 3: Cross multiply
    72,089.63x = 110,958 × 110,958
  4. Step 4: Simplify right side
    72,089.63x = 12,311,677,764
  5. Step 5: Solve for x
    x = 12,311,677,764/72,089.63
  6. Step 6: Final answer
    x = 170,782.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.