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Finding the Third Proportional to 96,394 and 144,023

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Solution

The third proportional to 96,394 and 144,023 is: 215,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,394 : 144,023 = 144,023 : x
  2. Step 2: Convert to fraction form
    96,394/144,023 = 144,023/x
  3. Step 3: Cross multiply
    96,394x = 144,023 × 144,023
  4. Step 4: Simplify right side
    96,394x = 20,742,624,529
  5. Step 5: Solve for x
    x = 20,742,624,529/96,394
  6. Step 6: Final answer
    x = 215,185.85

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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.