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Finding the Third Proportional to 122,790 and 189,612

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Solution

The third proportional to 122,790 and 189,612 is: 292,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,790 : 189,612 = 189,612 : x
  2. Step 2: Convert to fraction form
    122,790/189,612 = 189,612/x
  3. Step 3: Cross multiply
    122,790x = 189,612 × 189,612
  4. Step 4: Simplify right side
    122,790x = 35,952,710,544
  5. Step 5: Solve for x
    x = 35,952,710,544/122,790
  6. Step 6: Final answer
    x = 292,798.36

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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.