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Finding the Third Proportional to 94,178 and 139,636

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Solution

The third proportional to 94,178 and 139,636 is: 207,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,178 : 139,636 = 139,636 : x
  2. Step 2: Convert to fraction form
    94,178/139,636 = 139,636/x
  3. Step 3: Cross multiply
    94,178x = 139,636 × 139,636
  4. Step 4: Simplify right side
    94,178x = 19,498,212,496
  5. Step 5: Solve for x
    x = 19,498,212,496/94,178
  6. Step 6: Final answer
    x = 207,035.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.