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Finding the Third Proportional to 71,044 and 106,078

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Solution

The third proportional to 71,044 and 106,078 is: 158,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,044 : 106,078 = 106,078 : x
  2. Step 2: Convert to fraction form
    71,044/106,078 = 106,078/x
  3. Step 3: Cross multiply
    71,044x = 106,078 × 106,078
  4. Step 4: Simplify right side
    71,044x = 11,252,542,084
  5. Step 5: Solve for x
    x = 11,252,542,084/71,044
  6. Step 6: Final answer
    x = 158,388.35

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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.