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Finding the Third Proportional to 45,325.50 and 98,184

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Solution

The third proportional to 45,325.50 and 98,184 is: 212,685.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,325.50 : 98,184 = 98,184 : x
  2. Step 2: Convert to fraction form
    45,325.50/98,184 = 98,184/x
  3. Step 3: Cross multiply
    45,325.50x = 98,184 × 98,184
  4. Step 4: Simplify right side
    45,325.50x = 9,640,097,856
  5. Step 5: Solve for x
    x = 9,640,097,856/45,325.50
  6. Step 6: Final answer
    x = 212,685.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.