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Finding the Third Proportional to 122,298 and 189,024

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Solution

The third proportional to 122,298 and 189,024 is: 292,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,298 : 189,024 = 189,024 : x
  2. Step 2: Convert to fraction form
    122,298/189,024 = 189,024/x
  3. Step 3: Cross multiply
    122,298x = 189,024 × 189,024
  4. Step 4: Simplify right side
    122,298x = 35,730,072,576
  5. Step 5: Solve for x
    x = 35,730,072,576/122,298
  6. Step 6: Final answer
    x = 292,155.82

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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.