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Finding the Third Proportional to 72,574 and 109,955

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Solution

The third proportional to 72,574 and 109,955 is: 166,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,574 : 109,955 = 109,955 : x
  2. Step 2: Convert to fraction form
    72,574/109,955 = 109,955/x
  3. Step 3: Cross multiply
    72,574x = 109,955 × 109,955
  4. Step 4: Simplify right side
    72,574x = 12,090,102,025
  5. Step 5: Solve for x
    x = 12,090,102,025/72,574
  6. Step 6: Final answer
    x = 166,589.99

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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.