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Finding the Third Proportional to 103,966 and 156,688

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Solution

The third proportional to 103,966 and 156,688 is: 236,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,966 : 156,688 = 156,688 : x
  2. Step 2: Convert to fraction form
    103,966/156,688 = 156,688/x
  3. Step 3: Cross multiply
    103,966x = 156,688 × 156,688
  4. Step 4: Simplify right side
    103,966x = 24,551,129,344
  5. Step 5: Solve for x
    x = 24,551,129,344/103,966
  6. Step 6: Final answer
    x = 236,145.75

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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.