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Finding the Third Proportional to 39,178 and 84,590

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Solution

The third proportional to 39,178 and 84,590 is: 182,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,178 : 84,590 = 84,590 : x
  2. Step 2: Convert to fraction form
    39,178/84,590 = 84,590/x
  3. Step 3: Cross multiply
    39,178x = 84,590 × 84,590
  4. Step 4: Simplify right side
    39,178x = 7,155,468,100
  5. Step 5: Solve for x
    x = 7,155,468,100/39,178
  6. Step 6: Final answer
    x = 182,639.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.