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Finding the Third Proportional to 39,102 and 85,376

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Solution

The third proportional to 39,102 and 85,376 is: 186,411.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102 : 85,376 = 85,376 : x
  2. Step 2: Convert to fraction form
    39,102/85,376 = 85,376/x
  3. Step 3: Cross multiply
    39,102x = 85,376 × 85,376
  4. Step 4: Simplify right side
    39,102x = 7,289,061,376
  5. Step 5: Solve for x
    x = 7,289,061,376/39,102
  6. Step 6: Final answer
    x = 186,411.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.