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Finding the Third Proportional to 46,089 and 68,841

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Solution

The third proportional to 46,089 and 68,841 is: 102,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,089 : 68,841 = 68,841 : x
  2. Step 2: Convert to fraction form
    46,089/68,841 = 68,841/x
  3. Step 3: Cross multiply
    46,089x = 68,841 × 68,841
  4. Step 4: Simplify right side
    46,089x = 4,739,083,281
  5. Step 5: Solve for x
    x = 4,739,083,281/46,089
  6. Step 6: Final answer
    x = 102,824.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.