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Finding the Third Proportional to 74,458 and 111,702

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Solution

The third proportional to 74,458 and 111,702 is: 167,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,458 : 111,702 = 111,702 : x
  2. Step 2: Convert to fraction form
    74,458/111,702 = 111,702/x
  3. Step 3: Cross multiply
    74,458x = 111,702 × 111,702
  4. Step 4: Simplify right side
    74,458x = 12,477,336,804
  5. Step 5: Solve for x
    x = 12,477,336,804/74,458
  6. Step 6: Final answer
    x = 167,575.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.