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Finding the Third Proportional to 139,864 and 215,106

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Solution

The third proportional to 139,864 and 215,106 is: 330,825.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,864 : 215,106 = 215,106 : x
  2. Step 2: Convert to fraction form
    139,864/215,106 = 215,106/x
  3. Step 3: Cross multiply
    139,864x = 215,106 × 215,106
  4. Step 4: Simplify right side
    139,864x = 46,270,591,236
  5. Step 5: Solve for x
    x = 46,270,591,236/139,864
  6. Step 6: Final answer
    x = 330,825.60

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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.