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Finding the Third Proportional to 46,198 and 64,365

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Solution

The third proportional to 46,198 and 64,365 is: 89,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,198 : 64,365 = 64,365 : x
  2. Step 2: Convert to fraction form
    46,198/64,365 = 64,365/x
  3. Step 3: Cross multiply
    46,198x = 64,365 × 64,365
  4. Step 4: Simplify right side
    46,198x = 4,142,853,225
  5. Step 5: Solve for x
    x = 4,142,853,225/46,198
  6. Step 6: Final answer
    x = 89,676.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.