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Finding the Third Proportional to 122,814 and 189,646

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Solution

The third proportional to 122,814 and 189,646 is: 292,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,814 : 189,646 = 189,646 : x
  2. Step 2: Convert to fraction form
    122,814/189,646 = 189,646/x
  3. Step 3: Cross multiply
    122,814x = 189,646 × 189,646
  4. Step 4: Simplify right side
    122,814x = 35,965,605,316
  5. Step 5: Solve for x
    x = 35,965,605,316/122,814
  6. Step 6: Final answer
    x = 292,846.14

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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.