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Finding the Third Proportional to 160,513 and 174,523

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Solution

The third proportional to 160,513 and 174,523 is: 189,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,513 : 174,523 = 174,523 : x
  2. Step 2: Convert to fraction form
    160,513/174,523 = 174,523/x
  3. Step 3: Cross multiply
    160,513x = 174,523 × 174,523
  4. Step 4: Simplify right side
    160,513x = 30,458,277,529
  5. Step 5: Solve for x
    x = 30,458,277,529/160,513
  6. Step 6: Final answer
    x = 189,755.83

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.