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Finding the Third Proportional to 103,683 and 156,476

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Solution

The third proportional to 103,683 and 156,476 is: 236,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 156,476 = 156,476 : x
  2. Step 2: Convert to fraction form
    103,683/156,476 = 156,476/x
  3. Step 3: Cross multiply
    103,683x = 156,476 × 156,476
  4. Step 4: Simplify right side
    103,683x = 24,484,738,576
  5. Step 5: Solve for x
    x = 24,484,738,576/103,683
  6. Step 6: Final answer
    x = 236,149.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.