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Finding the Third Proportional to 80,574 and 113,265

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Solution

The third proportional to 80,574 and 113,265 is: 159,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,574 : 113,265 = 113,265 : x
  2. Step 2: Convert to fraction form
    80,574/113,265 = 113,265/x
  3. Step 3: Cross multiply
    80,574x = 113,265 × 113,265
  4. Step 4: Simplify right side
    80,574x = 12,828,960,225
  5. Step 5: Solve for x
    x = 12,828,960,225/80,574
  6. Step 6: Final answer
    x = 159,219.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.