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Finding the Third Proportional to 71,624 and 151,785

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Solution

The third proportional to 71,624 and 151,785 is: 321,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,624 : 151,785 = 151,785 : x
  2. Step 2: Convert to fraction form
    71,624/151,785 = 151,785/x
  3. Step 3: Cross multiply
    71,624x = 151,785 × 151,785
  4. Step 4: Simplify right side
    71,624x = 23,038,686,225
  5. Step 5: Solve for x
    x = 23,038,686,225/71,624
  6. Step 6: Final answer
    x = 321,661.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.