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Finding the Third Proportional to 71,205 and 155,710

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Solution

The third proportional to 71,205 and 155,710 is: 340,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205 : 155,710 = 155,710 : x
  2. Step 2: Convert to fraction form
    71,205/155,710 = 155,710/x
  3. Step 3: Cross multiply
    71,205x = 155,710 × 155,710
  4. Step 4: Simplify right side
    71,205x = 24,245,604,100
  5. Step 5: Solve for x
    x = 24,245,604,100/71,205
  6. Step 6: Final answer
    x = 340,504.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.