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Finding the Third Proportional to 96,616 and 144,032

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Solution

The third proportional to 96,616 and 144,032 is: 214,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,616 : 144,032 = 144,032 : x
  2. Step 2: Convert to fraction form
    96,616/144,032 = 144,032/x
  3. Step 3: Cross multiply
    96,616x = 144,032 × 144,032
  4. Step 4: Simplify right side
    96,616x = 20,745,217,024
  5. Step 5: Solve for x
    x = 20,745,217,024/96,616
  6. Step 6: Final answer
    x = 214,718.24

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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.