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Finding the Third Proportional to 104,055 and 221,070

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Solution

The third proportional to 104,055 and 221,070 is: 469,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,055 : 221,070 = 221,070 : x
  2. Step 2: Convert to fraction form
    104,055/221,070 = 221,070/x
  3. Step 3: Cross multiply
    104,055x = 221,070 × 221,070
  4. Step 4: Simplify right side
    104,055x = 48,871,944,900
  5. Step 5: Solve for x
    x = 48,871,944,900/104,055
  6. Step 6: Final answer
    x = 469,674.16

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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.