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Finding the Third Proportional to 121,628 and 182,260

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Solution

The third proportional to 121,628 and 182,260 is: 273,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,628 : 182,260 = 182,260 : x
  2. Step 2: Convert to fraction form
    121,628/182,260 = 182,260/x
  3. Step 3: Cross multiply
    121,628x = 182,260 × 182,260
  4. Step 4: Simplify right side
    121,628x = 33,218,707,600
  5. Step 5: Solve for x
    x = 33,218,707,600/121,628
  6. Step 6: Final answer
    x = 273,117.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.