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Finding the Third Proportional to 72,685 and 160,914

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Solution

The third proportional to 72,685 and 160,914 is: 356,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,685 : 160,914 = 160,914 : x
  2. Step 2: Convert to fraction form
    72,685/160,914 = 160,914/x
  3. Step 3: Cross multiply
    72,685x = 160,914 × 160,914
  4. Step 4: Simplify right side
    72,685x = 25,893,315,396
  5. Step 5: Solve for x
    x = 25,893,315,396/72,685
  6. Step 6: Final answer
    x = 356,240.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.