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Finding the Third Proportional to 129,735 and 282,177

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Solution

The third proportional to 129,735 and 282,177 is: 613,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,735 : 282,177 = 282,177 : x
  2. Step 2: Convert to fraction form
    129,735/282,177 = 282,177/x
  3. Step 3: Cross multiply
    129,735x = 282,177 × 282,177
  4. Step 4: Simplify right side
    129,735x = 79,623,859,329
  5. Step 5: Solve for x
    x = 79,623,859,329/129,735
  6. Step 6: Final answer
    x = 613,742.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.