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Finding the Third Proportional to 103,797.07 and 139,472.51

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Solution

The third proportional to 103,797.07 and 139,472.51 is: 187,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,797.07 : 139,472.51 = 139,472.51 : x
  2. Step 2: Convert to fraction form
    103,797.07/139,472.51 = 139,472.51/x
  3. Step 3: Cross multiply
    103,797.07x = 139,472.51 × 139,472.51
  4. Step 4: Simplify right side
    103,797.07x = 19,452,580,435.51
  5. Step 5: Solve for x
    x = 19,452,580,435.51/103,797.07
  6. Step 6: Final answer
    x = 187,409.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.