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Finding the Third Proportional to 43,346 and 68,655

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Solution

The third proportional to 43,346 and 68,655 is: 108,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,346 : 68,655 = 68,655 : x
  2. Step 2: Convert to fraction form
    43,346/68,655 = 68,655/x
  3. Step 3: Cross multiply
    43,346x = 68,655 × 68,655
  4. Step 4: Simplify right side
    43,346x = 4,713,509,025
  5. Step 5: Solve for x
    x = 4,713,509,025/43,346
  6. Step 6: Final answer
    x = 108,741.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.