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Finding the Third Proportional to 104,054 and 221,066

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Solution

The third proportional to 104,054 and 221,066 is: 469,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,054 : 221,066 = 221,066 : x
  2. Step 2: Convert to fraction form
    104,054/221,066 = 221,066/x
  3. Step 3: Cross multiply
    104,054x = 221,066 × 221,066
  4. Step 4: Simplify right side
    104,054x = 48,870,176,356
  5. Step 5: Solve for x
    x = 48,870,176,356/104,054
  6. Step 6: Final answer
    x = 469,661.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.