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Finding the Third Proportional to 45,028 and 96,434

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Solution

The third proportional to 45,028 and 96,434 is: 206,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,028 : 96,434 = 96,434 : x
  2. Step 2: Convert to fraction form
    45,028/96,434 = 96,434/x
  3. Step 3: Cross multiply
    45,028x = 96,434 × 96,434
  4. Step 4: Simplify right side
    45,028x = 9,299,516,356
  5. Step 5: Solve for x
    x = 9,299,516,356/45,028
  6. Step 6: Final answer
    x = 206,527.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.