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Finding the Third Proportional to 74,948 and 111,284

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Solution

The third proportional to 74,948 and 111,284 is: 165,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,948 : 111,284 = 111,284 : x
  2. Step 2: Convert to fraction form
    74,948/111,284 = 111,284/x
  3. Step 3: Cross multiply
    74,948x = 111,284 × 111,284
  4. Step 4: Simplify right side
    74,948x = 12,384,128,656
  5. Step 5: Solve for x
    x = 12,384,128,656/74,948
  6. Step 6: Final answer
    x = 165,236.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.