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Finding the Third Proportional to 104,178 and 160,590

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Solution

The third proportional to 104,178 and 160,590 is: 247,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,178 : 160,590 = 160,590 : x
  2. Step 2: Convert to fraction form
    104,178/160,590 = 160,590/x
  3. Step 3: Cross multiply
    104,178x = 160,590 × 160,590
  4. Step 4: Simplify right side
    104,178x = 25,789,148,100
  5. Step 5: Solve for x
    x = 25,789,148,100/104,178
  6. Step 6: Final answer
    x = 247,548.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.