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Finding the Third Proportional to 71,398 and 106,317.50

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Solution

The third proportional to 71,398 and 106,317.50 is: 158,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,398 : 106,317.50 = 106,317.50 : x
  2. Step 2: Convert to fraction form
    71,398/106,317.50 = 106,317.50/x
  3. Step 3: Cross multiply
    71,398x = 106,317.50 × 106,317.50
  4. Step 4: Simplify right side
    71,398x = 11,303,410,806.25
  5. Step 5: Solve for x
    x = 11,303,410,806.25/71,398
  6. Step 6: Final answer
    x = 158,315.51

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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.