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Finding the Third Proportional to 53,334 and 80,415

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Solution

The third proportional to 53,334 and 80,415 is: 121,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,334 : 80,415 = 80,415 : x
  2. Step 2: Convert to fraction form
    53,334/80,415 = 80,415/x
  3. Step 3: Cross multiply
    53,334x = 80,415 × 80,415
  4. Step 4: Simplify right side
    53,334x = 6,466,572,225
  5. Step 5: Solve for x
    x = 6,466,572,225/53,334
  6. Step 6: Final answer
    x = 121,246.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.