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Finding the Third Proportional to 79,527 and 174,606

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Solution

The third proportional to 79,527 and 174,606 is: 383,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,527 : 174,606 = 174,606 : x
  2. Step 2: Convert to fraction form
    79,527/174,606 = 174,606/x
  3. Step 3: Cross multiply
    79,527x = 174,606 × 174,606
  4. Step 4: Simplify right side
    79,527x = 30,487,255,236
  5. Step 5: Solve for x
    x = 30,487,255,236/79,527
  6. Step 6: Final answer
    x = 383,357.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.