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Finding the Third Proportional to 74,436 and 101,078

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Solution

The third proportional to 74,436 and 101,078 is: 137,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,436 : 101,078 = 101,078 : x
  2. Step 2: Convert to fraction form
    74,436/101,078 = 101,078/x
  3. Step 3: Cross multiply
    74,436x = 101,078 × 101,078
  4. Step 4: Simplify right side
    74,436x = 10,216,762,084
  5. Step 5: Solve for x
    x = 10,216,762,084/74,436
  6. Step 6: Final answer
    x = 137,255.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.