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Finding the Third Proportional to 71,016 and 155,395.50

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Solution

The third proportional to 71,016 and 155,395.50 is: 340,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,016 : 155,395.50 = 155,395.50 : x
  2. Step 2: Convert to fraction form
    71,016/155,395.50 = 155,395.50/x
  3. Step 3: Cross multiply
    71,016x = 155,395.50 × 155,395.50
  4. Step 4: Simplify right side
    71,016x = 24,147,761,420.25
  5. Step 5: Solve for x
    x = 24,147,761,420.25/71,016
  6. Step 6: Final answer
    x = 340,032.69

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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.