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Finding the Third Proportional to 103,506 and 221,772

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Solution

The third proportional to 103,506 and 221,772 is: 475,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,506 : 221,772 = 221,772 : x
  2. Step 2: Convert to fraction form
    103,506/221,772 = 221,772/x
  3. Step 3: Cross multiply
    103,506x = 221,772 × 221,772
  4. Step 4: Simplify right side
    103,506x = 49,182,819,984
  5. Step 5: Solve for x
    x = 49,182,819,984/103,506
  6. Step 6: Final answer
    x = 475,168.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.