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Finding the Third Proportional to 103,683 and 146,835

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Solution

The third proportional to 103,683 and 146,835 is: 207,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 146,835 = 146,835 : x
  2. Step 2: Convert to fraction form
    103,683/146,835 = 146,835/x
  3. Step 3: Cross multiply
    103,683x = 146,835 × 146,835
  4. Step 4: Simplify right side
    103,683x = 21,560,517,225
  5. Step 5: Solve for x
    x = 21,560,517,225/103,683
  6. Step 6: Final answer
    x = 207,946.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.