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Finding the Third Proportional to 106,957.50 and 164,415

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Solution

The third proportional to 106,957.50 and 164,415 is: 252,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,957.50 : 164,415 = 164,415 : x
  2. Step 2: Convert to fraction form
    106,957.50/164,415 = 164,415/x
  3. Step 3: Cross multiply
    106,957.50x = 164,415 × 164,415
  4. Step 4: Simplify right side
    106,957.50x = 27,032,292,225
  5. Step 5: Solve for x
    x = 27,032,292,225/106,957.50
  6. Step 6: Final answer
    x = 252,738.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.