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Finding the Third Proportional to 116,524 and 174,724

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Solution

The third proportional to 116,524 and 174,724 is: 261,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,524 : 174,724 = 174,724 : x
  2. Step 2: Convert to fraction form
    116,524/174,724 = 174,724/x
  3. Step 3: Cross multiply
    116,524x = 174,724 × 174,724
  4. Step 4: Simplify right side
    116,524x = 30,528,476,176
  5. Step 5: Solve for x
    x = 30,528,476,176/116,524
  6. Step 6: Final answer
    x = 261,993.03

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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.