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Finding the Third Proportional to 71,084 and 106,130

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Solution

The third proportional to 71,084 and 106,130 is: 158,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084 : 106,130 = 106,130 : x
  2. Step 2: Convert to fraction form
    71,084/106,130 = 106,130/x
  3. Step 3: Cross multiply
    71,084x = 106,130 × 106,130
  4. Step 4: Simplify right side
    71,084x = 11,263,576,900
  5. Step 5: Solve for x
    x = 11,263,576,900/71,084
  6. Step 6: Final answer
    x = 158,454.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.