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Finding the Third Proportional to 116,489 and 174,553

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Solution

The third proportional to 116,489 and 174,553 is: 261,559.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,489 : 174,553 = 174,553 : x
  2. Step 2: Convert to fraction form
    116,489/174,553 = 174,553/x
  3. Step 3: Cross multiply
    116,489x = 174,553 × 174,553
  4. Step 4: Simplify right side
    116,489x = 30,468,749,809
  5. Step 5: Solve for x
    x = 30,468,749,809/116,489
  6. Step 6: Final answer
    x = 261,559.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.