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Finding the Third Proportional to 74,939 and 112,904

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Solution

The third proportional to 74,939 and 112,904 is: 170,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,939 : 112,904 = 112,904 : x
  2. Step 2: Convert to fraction form
    74,939/112,904 = 112,904/x
  3. Step 3: Cross multiply
    74,939x = 112,904 × 112,904
  4. Step 4: Simplify right side
    74,939x = 12,747,313,216
  5. Step 5: Solve for x
    x = 12,747,313,216/74,939
  6. Step 6: Final answer
    x = 170,102.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.