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Finding the Third Proportional to 75,028 and 108,222

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Solution

The third proportional to 75,028 and 108,222 is: 156,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,028 : 108,222 = 108,222 : x
  2. Step 2: Convert to fraction form
    75,028/108,222 = 108,222/x
  3. Step 3: Cross multiply
    75,028x = 108,222 × 108,222
  4. Step 4: Simplify right side
    75,028x = 11,712,001,284
  5. Step 5: Solve for x
    x = 11,712,001,284/75,028
  6. Step 6: Final answer
    x = 156,101.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.