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Finding the Third Proportional to 64,028 and 90,129

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Solution

The third proportional to 64,028 and 90,129 is: 126,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,028 : 90,129 = 90,129 : x
  2. Step 2: Convert to fraction form
    64,028/90,129 = 90,129/x
  3. Step 3: Cross multiply
    64,028x = 90,129 × 90,129
  4. Step 4: Simplify right side
    64,028x = 8,123,236,641
  5. Step 5: Solve for x
    x = 8,123,236,641/64,028
  6. Step 6: Final answer
    x = 126,870.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.