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Finding the Third Proportional to 50,970 and 74,955

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Solution

The third proportional to 50,970 and 74,955 is: 110,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,970 : 74,955 = 74,955 : x
  2. Step 2: Convert to fraction form
    50,970/74,955 = 74,955/x
  3. Step 3: Cross multiply
    50,970x = 74,955 × 74,955
  4. Step 4: Simplify right side
    50,970x = 5,618,252,025
  5. Step 5: Solve for x
    x = 5,618,252,025/50,970
  6. Step 6: Final answer
    x = 110,226.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.