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Finding the Third Proportional to 123,202 and 266,100

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Solution

The third proportional to 123,202 and 266,100 is: 574,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,202 : 266,100 = 266,100 : x
  2. Step 2: Convert to fraction form
    123,202/266,100 = 266,100/x
  3. Step 3: Cross multiply
    123,202x = 266,100 × 266,100
  4. Step 4: Simplify right side
    123,202x = 70,809,210,000
  5. Step 5: Solve for x
    x = 70,809,210,000/123,202
  6. Step 6: Final answer
    x = 574,740.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.