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Finding the Third Proportional to 123,532 and 180,586

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Solution

The third proportional to 123,532 and 180,586 is: 263,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,532 : 180,586 = 180,586 : x
  2. Step 2: Convert to fraction form
    123,532/180,586 = 180,586/x
  3. Step 3: Cross multiply
    123,532x = 180,586 × 180,586
  4. Step 4: Simplify right side
    123,532x = 32,611,303,396
  5. Step 5: Solve for x
    x = 32,611,303,396/123,532
  6. Step 6: Final answer
    x = 263,990.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.