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Finding the Third Proportional to 96,392 and 144,021

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Solution

The third proportional to 96,392 and 144,021 is: 215,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,392 : 144,021 = 144,021 : x
  2. Step 2: Convert to fraction form
    96,392/144,021 = 144,021/x
  3. Step 3: Cross multiply
    96,392x = 144,021 × 144,021
  4. Step 4: Simplify right side
    96,392x = 20,742,048,441
  5. Step 5: Solve for x
    x = 20,742,048,441/96,392
  6. Step 6: Final answer
    x = 215,184.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.