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Finding the Third Proportional to 74,312 and 116,400

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Solution

The third proportional to 74,312 and 116,400 is: 182,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,312 : 116,400 = 116,400 : x
  2. Step 2: Convert to fraction form
    74,312/116,400 = 116,400/x
  3. Step 3: Cross multiply
    74,312x = 116,400 × 116,400
  4. Step 4: Simplify right side
    74,312x = 13,548,960,000
  5. Step 5: Solve for x
    x = 13,548,960,000/74,312
  6. Step 6: Final answer
    x = 182,325.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.