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Finding the Third Proportional to 128,827.13 and 189,389.25

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Solution

The third proportional to 128,827.13 and 189,389.25 is: 278,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,827.13 : 189,389.25 = 189,389.25 : x
  2. Step 2: Convert to fraction form
    128,827.13/189,389.25 = 189,389.25/x
  3. Step 3: Cross multiply
    128,827.13x = 189,389.25 × 189,389.25
  4. Step 4: Simplify right side
    128,827.13x = 35,868,288,015.56
  5. Step 5: Solve for x
    x = 35,868,288,015.56/128,827.13
  6. Step 6: Final answer
    x = 278,421.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.