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Finding the Third Proportional to 124,683 and 186,973

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Solution

The third proportional to 124,683 and 186,973 is: 280,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,683 : 186,973 = 186,973 : x
  2. Step 2: Convert to fraction form
    124,683/186,973 = 186,973/x
  3. Step 3: Cross multiply
    124,683x = 186,973 × 186,973
  4. Step 4: Simplify right side
    124,683x = 34,958,902,729
  5. Step 5: Solve for x
    x = 34,958,902,729/124,683
  6. Step 6: Final answer
    x = 280,382.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.