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Finding the Third Proportional to 102,962 and 221,332

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Solution

The third proportional to 102,962 and 221,332 is: 475,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,962 : 221,332 = 221,332 : x
  2. Step 2: Convert to fraction form
    102,962/221,332 = 221,332/x
  3. Step 3: Cross multiply
    102,962x = 221,332 × 221,332
  4. Step 4: Simplify right side
    102,962x = 48,987,854,224
  5. Step 5: Solve for x
    x = 48,987,854,224/102,962
  6. Step 6: Final answer
    x = 475,785.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.