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Finding the Third Proportional to 107,028 and 164,571.75

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Solution

The third proportional to 107,028 and 164,571.75 is: 253,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,028 : 164,571.75 = 164,571.75 : x
  2. Step 2: Convert to fraction form
    107,028/164,571.75 = 164,571.75/x
  3. Step 3: Cross multiply
    107,028x = 164,571.75 × 164,571.75
  4. Step 4: Simplify right side
    107,028x = 27,083,860,898.06
  5. Step 5: Solve for x
    x = 27,083,860,898.06/107,028
  6. Step 6: Final answer
    x = 253,053.98

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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.