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Finding the Third Proportional to 39,310 and 85,265

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Solution

The third proportional to 39,310 and 85,265 is: 184,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,310 : 85,265 = 85,265 : x
  2. Step 2: Convert to fraction form
    39,310/85,265 = 85,265/x
  3. Step 3: Cross multiply
    39,310x = 85,265 × 85,265
  4. Step 4: Simplify right side
    39,310x = 7,270,120,225
  5. Step 5: Solve for x
    x = 7,270,120,225/39,310
  6. Step 6: Final answer
    x = 184,943.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.