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Finding the Third Proportional to 52,948 and 74,212

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Solution

The third proportional to 52,948 and 74,212 is: 104,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,948 : 74,212 = 74,212 : x
  2. Step 2: Convert to fraction form
    52,948/74,212 = 74,212/x
  3. Step 3: Cross multiply
    52,948x = 74,212 × 74,212
  4. Step 4: Simplify right side
    52,948x = 5,507,420,944
  5. Step 5: Solve for x
    x = 5,507,420,944/52,948
  6. Step 6: Final answer
    x = 104,015.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.