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Finding the Third Proportional to 126,133 and 187,402

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Solution

The third proportional to 126,133 and 187,402 is: 278,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,133 : 187,402 = 187,402 : x
  2. Step 2: Convert to fraction form
    126,133/187,402 = 187,402/x
  3. Step 3: Cross multiply
    126,133x = 187,402 × 187,402
  4. Step 4: Simplify right side
    126,133x = 35,119,509,604
  5. Step 5: Solve for x
    x = 35,119,509,604/126,133
  6. Step 6: Final answer
    x = 278,432.37

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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.