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Finding the Third Proportional to 74,378.25 and 114,847.88

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Solution

The third proportional to 74,378.25 and 114,847.88 is: 177,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,378.25 : 114,847.88 = 114,847.88 : x
  2. Step 2: Convert to fraction form
    74,378.25/114,847.88 = 114,847.88/x
  3. Step 3: Cross multiply
    74,378.25x = 114,847.88 × 114,847.88
  4. Step 4: Simplify right side
    74,378.25x = 13,190,034,392.02
  5. Step 5: Solve for x
    x = 13,190,034,392.02/74,378.25
  6. Step 6: Final answer
    x = 177,337.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.