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Finding the Third Proportional to 122,818 and 189,652

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Solution

The third proportional to 122,818 and 189,652 is: 292,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,818 : 189,652 = 189,652 : x
  2. Step 2: Convert to fraction form
    122,818/189,652 = 189,652/x
  3. Step 3: Cross multiply
    122,818x = 189,652 × 189,652
  4. Step 4: Simplify right side
    122,818x = 35,967,881,104
  5. Step 5: Solve for x
    x = 35,967,881,104/122,818
  6. Step 6: Final answer
    x = 292,855.13

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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.