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Finding the Third Proportional to 74,536 and 114,400

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Solution

The third proportional to 74,536 and 114,400 is: 175,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,536 : 114,400 = 114,400 : x
  2. Step 2: Convert to fraction form
    74,536/114,400 = 114,400/x
  3. Step 3: Cross multiply
    74,536x = 114,400 × 114,400
  4. Step 4: Simplify right side
    74,536x = 13,087,360,000
  5. Step 5: Solve for x
    x = 13,087,360,000/74,536
  6. Step 6: Final answer
    x = 175,584.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.