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Finding the Third Proportional to 74,774 and 160,510

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Solution

The third proportional to 74,774 and 160,510 is: 344,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,774 : 160,510 = 160,510 : x
  2. Step 2: Convert to fraction form
    74,774/160,510 = 160,510/x
  3. Step 3: Cross multiply
    74,774x = 160,510 × 160,510
  4. Step 4: Simplify right side
    74,774x = 25,763,460,100
  5. Step 5: Solve for x
    x = 25,763,460,100/74,774
  6. Step 6: Final answer
    x = 344,551.05

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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.