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Finding the Third Proportional to 61,464.50 and 125,184

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Solution

The third proportional to 61,464.50 and 125,184 is: 254,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464.50 : 125,184 = 125,184 : x
  2. Step 2: Convert to fraction form
    61,464.50/125,184 = 125,184/x
  3. Step 3: Cross multiply
    61,464.50x = 125,184 × 125,184
  4. Step 4: Simplify right side
    61,464.50x = 15,671,033,856
  5. Step 5: Solve for x
    x = 15,671,033,856/61,464.50
  6. Step 6: Final answer
    x = 254,960.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.