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Finding the Third Proportional to 41,184 and 97,200

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Solution

The third proportional to 41,184 and 97,200 is: 229,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,184 : 97,200 = 97,200 : x
  2. Step 2: Convert to fraction form
    41,184/97,200 = 97,200/x
  3. Step 3: Cross multiply
    41,184x = 97,200 × 97,200
  4. Step 4: Simplify right side
    41,184x = 9,447,840,000
  5. Step 5: Solve for x
    x = 9,447,840,000/41,184
  6. Step 6: Final answer
    x = 229,405.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.