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Finding the Third Proportional to 62,415 and 101,403

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Solution

The third proportional to 62,415 and 101,403 is: 164,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,415 : 101,403 = 101,403 : x
  2. Step 2: Convert to fraction form
    62,415/101,403 = 101,403/x
  3. Step 3: Cross multiply
    62,415x = 101,403 × 101,403
  4. Step 4: Simplify right side
    62,415x = 10,282,568,409
  5. Step 5: Solve for x
    x = 10,282,568,409/62,415
  6. Step 6: Final answer
    x = 164,745.15

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.