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Finding the Third Proportional to 103,216 and 158,696

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Solution

The third proportional to 103,216 and 158,696 is: 243,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,216 : 158,696 = 158,696 : x
  2. Step 2: Convert to fraction form
    103,216/158,696 = 158,696/x
  3. Step 3: Cross multiply
    103,216x = 158,696 × 158,696
  4. Step 4: Simplify right side
    103,216x = 25,184,420,416
  5. Step 5: Solve for x
    x = 25,184,420,416/103,216
  6. Step 6: Final answer
    x = 243,997.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.