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Finding the Third Proportional to 74,024 and 160,524

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Solution

The third proportional to 74,024 and 160,524 is: 348,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,024 : 160,524 = 160,524 : x
  2. Step 2: Convert to fraction form
    74,024/160,524 = 160,524/x
  3. Step 3: Cross multiply
    74,024x = 160,524 × 160,524
  4. Step 4: Simplify right side
    74,024x = 25,767,954,576
  5. Step 5: Solve for x
    x = 25,767,954,576/74,024
  6. Step 6: Final answer
    x = 348,102.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.