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Finding the Third Proportional to 100,028 and 151,113

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Solution

The third proportional to 100,028 and 151,113 is: 228,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,028 : 151,113 = 151,113 : x
  2. Step 2: Convert to fraction form
    100,028/151,113 = 151,113/x
  3. Step 3: Cross multiply
    100,028x = 151,113 × 151,113
  4. Step 4: Simplify right side
    100,028x = 22,835,138,769
  5. Step 5: Solve for x
    x = 22,835,138,769/100,028
  6. Step 6: Final answer
    x = 228,287.47

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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.