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Finding the Third Proportional to 103,971 and 156,695

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Solution

The third proportional to 103,971 and 156,695 is: 236,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,971 : 156,695 = 156,695 : x
  2. Step 2: Convert to fraction form
    103,971/156,695 = 156,695/x
  3. Step 3: Cross multiply
    103,971x = 156,695 × 156,695
  4. Step 4: Simplify right side
    103,971x = 24,553,323,025
  5. Step 5: Solve for x
    x = 24,553,323,025/103,971
  6. Step 6: Final answer
    x = 236,155.50

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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.