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Finding the Third Proportional to 122,302 and 189,030

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Solution

The third proportional to 122,302 and 189,030 is: 292,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,302 : 189,030 = 189,030 : x
  2. Step 2: Convert to fraction form
    122,302/189,030 = 189,030/x
  3. Step 3: Cross multiply
    122,302x = 189,030 × 189,030
  4. Step 4: Simplify right side
    122,302x = 35,732,340,900
  5. Step 5: Solve for x
    x = 35,732,340,900/122,302
  6. Step 6: Final answer
    x = 292,164.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.