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Finding the Third Proportional to 104,066 and 245,381

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Solution

The third proportional to 104,066 and 245,381 is: 578,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,066 : 245,381 = 245,381 : x
  2. Step 2: Convert to fraction form
    104,066/245,381 = 245,381/x
  3. Step 3: Cross multiply
    104,066x = 245,381 × 245,381
  4. Step 4: Simplify right side
    104,066x = 60,211,835,161
  5. Step 5: Solve for x
    x = 60,211,835,161/104,066
  6. Step 6: Final answer
    x = 578,592.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.