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Finding the Third Proportional to 124,914 and 180,563

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Solution

The third proportional to 124,914 and 180,563 is: 261,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,914 : 180,563 = 180,563 : x
  2. Step 2: Convert to fraction form
    124,914/180,563 = 180,563/x
  3. Step 3: Cross multiply
    124,914x = 180,563 × 180,563
  4. Step 4: Simplify right side
    124,914x = 32,602,996,969
  5. Step 5: Solve for x
    x = 32,602,996,969/124,914
  6. Step 6: Final answer
    x = 261,003.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.