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Finding the Third Proportional to 123,036 and 260,752

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Solution

The third proportional to 123,036 and 260,752 is: 552,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,036 : 260,752 = 260,752 : x
  2. Step 2: Convert to fraction form
    123,036/260,752 = 260,752/x
  3. Step 3: Cross multiply
    123,036x = 260,752 × 260,752
  4. Step 4: Simplify right side
    123,036x = 67,991,605,504
  5. Step 5: Solve for x
    x = 67,991,605,504/123,036
  6. Step 6: Final answer
    x = 552,615.54

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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.