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Finding the Third Proportional to 44,346 and 68,851

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Solution

The third proportional to 44,346 and 68,851 is: 106,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,346 : 68,851 = 68,851 : x
  2. Step 2: Convert to fraction form
    44,346/68,851 = 68,851/x
  3. Step 3: Cross multiply
    44,346x = 68,851 × 68,851
  4. Step 4: Simplify right side
    44,346x = 4,740,460,201
  5. Step 5: Solve for x
    x = 4,740,460,201/44,346
  6. Step 6: Final answer
    x = 106,897.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.