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Finding the Third Proportional to 84,306 and 126,240

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Solution

The third proportional to 84,306 and 126,240 is: 189,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306 : 126,240 = 126,240 : x
  2. Step 2: Convert to fraction form
    84,306/126,240 = 126,240/x
  3. Step 3: Cross multiply
    84,306x = 126,240 × 126,240
  4. Step 4: Simplify right side
    84,306x = 15,936,537,600
  5. Step 5: Solve for x
    x = 15,936,537,600/84,306
  6. Step 6: Final answer
    x = 189,032.07

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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.