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Finding the Third Proportional to 74,043 and 112,338

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Solution

The third proportional to 74,043 and 112,338 is: 170,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,043 : 112,338 = 112,338 : x
  2. Step 2: Convert to fraction form
    74,043/112,338 = 112,338/x
  3. Step 3: Cross multiply
    74,043x = 112,338 × 112,338
  4. Step 4: Simplify right side
    74,043x = 12,619,826,244
  5. Step 5: Solve for x
    x = 12,619,826,244/74,043
  6. Step 6: Final answer
    x = 170,439.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.