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Finding the Third Proportional to 122,958 and 189,264

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Solution

The third proportional to 122,958 and 189,264 is: 291,326.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,958 : 189,264 = 189,264 : x
  2. Step 2: Convert to fraction form
    122,958/189,264 = 189,264/x
  3. Step 3: Cross multiply
    122,958x = 189,264 × 189,264
  4. Step 4: Simplify right side
    122,958x = 35,820,861,696
  5. Step 5: Solve for x
    x = 35,820,861,696/122,958
  6. Step 6: Final answer
    x = 291,326.00

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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.