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Finding the Third Proportional to 104,822 and 148,178

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Solution

The third proportional to 104,822 and 148,178 is: 209,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,822 : 148,178 = 148,178 : x
  2. Step 2: Convert to fraction form
    104,822/148,178 = 148,178/x
  3. Step 3: Cross multiply
    104,822x = 148,178 × 148,178
  4. Step 4: Simplify right side
    104,822x = 21,956,719,684
  5. Step 5: Solve for x
    x = 21,956,719,684/104,822
  6. Step 6: Final answer
    x = 209,466.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.