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Finding the Third Proportional to 103,946 and 156,860

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Solution

The third proportional to 103,946 and 156,860 is: 236,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,946 : 156,860 = 156,860 : x
  2. Step 2: Convert to fraction form
    103,946/156,860 = 156,860/x
  3. Step 3: Cross multiply
    103,946x = 156,860 × 156,860
  4. Step 4: Simplify right side
    103,946x = 24,605,059,600
  5. Step 5: Solve for x
    x = 24,605,059,600/103,946
  6. Step 6: Final answer
    x = 236,710.02

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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.