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Finding the Third Proportional to 126,312 and 182,484

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Solution

The third proportional to 126,312 and 182,484 is: 263,636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,312 : 182,484 = 182,484 : x
  2. Step 2: Convert to fraction form
    126,312/182,484 = 182,484/x
  3. Step 3: Cross multiply
    126,312x = 182,484 × 182,484
  4. Step 4: Simplify right side
    126,312x = 33,300,410,256
  5. Step 5: Solve for x
    x = 33,300,410,256/126,312
  6. Step 6: Final answer
    x = 263,636.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.