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Finding the Third Proportional to 106,461 and 186,678

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Solution

The third proportional to 106,461 and 186,678 is: 327,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461 : 186,678 = 186,678 : x
  2. Step 2: Convert to fraction form
    106,461/186,678 = 186,678/x
  3. Step 3: Cross multiply
    106,461x = 186,678 × 186,678
  4. Step 4: Simplify right side
    106,461x = 34,848,675,684
  5. Step 5: Solve for x
    x = 34,848,675,684/106,461
  6. Step 6: Final answer
    x = 327,337.48

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.