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Finding the Third Proportional to 72,146 and 110,955

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Solution

The third proportional to 72,146 and 110,955 is: 170,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,146 : 110,955 = 110,955 : x
  2. Step 2: Convert to fraction form
    72,146/110,955 = 110,955/x
  3. Step 3: Cross multiply
    72,146x = 110,955 × 110,955
  4. Step 4: Simplify right side
    72,146x = 12,311,012,025
  5. Step 5: Solve for x
    x = 12,311,012,025/72,146
  6. Step 6: Final answer
    x = 170,640.26

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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.