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Finding the Third Proportional to 85,356 and 113,265

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Solution

The third proportional to 85,356 and 113,265 is: 150,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,356 : 113,265 = 113,265 : x
  2. Step 2: Convert to fraction form
    85,356/113,265 = 113,265/x
  3. Step 3: Cross multiply
    85,356x = 113,265 × 113,265
  4. Step 4: Simplify right side
    85,356x = 12,828,960,225
  5. Step 5: Solve for x
    x = 12,828,960,225/85,356
  6. Step 6: Final answer
    x = 150,299.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.