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Finding the Third Proportional to 74,730 and 160,554

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Solution

The third proportional to 74,730 and 160,554 is: 344,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,730 : 160,554 = 160,554 : x
  2. Step 2: Convert to fraction form
    74,730/160,554 = 160,554/x
  3. Step 3: Cross multiply
    74,730x = 160,554 × 160,554
  4. Step 4: Simplify right side
    74,730x = 25,777,586,916
  5. Step 5: Solve for x
    x = 25,777,586,916/74,730
  6. Step 6: Final answer
    x = 344,942.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.