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Finding the Third Proportional to 103,973 and 156,699

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Solution

The third proportional to 103,973 and 156,699 is: 236,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,973 : 156,699 = 156,699 : x
  2. Step 2: Convert to fraction form
    103,973/156,699 = 156,699/x
  3. Step 3: Cross multiply
    103,973x = 156,699 × 156,699
  4. Step 4: Simplify right side
    103,973x = 24,554,576,601
  5. Step 5: Solve for x
    x = 24,554,576,601/103,973
  6. Step 6: Final answer
    x = 236,163.01

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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.