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Finding the Third Proportional to 84,312 and 126,021

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Solution

The third proportional to 84,312 and 126,021 is: 188,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,312 : 126,021 = 126,021 : x
  2. Step 2: Convert to fraction form
    84,312/126,021 = 126,021/x
  3. Step 3: Cross multiply
    84,312x = 126,021 × 126,021
  4. Step 4: Simplify right side
    84,312x = 15,881,292,441
  5. Step 5: Solve for x
    x = 15,881,292,441/84,312
  6. Step 6: Final answer
    x = 188,363.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.