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Finding the Third Proportional to 62,735 and 134,197

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Solution

The third proportional to 62,735 and 134,197 is: 287,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,735 : 134,197 = 134,197 : x
  2. Step 2: Convert to fraction form
    62,735/134,197 = 134,197/x
  3. Step 3: Cross multiply
    62,735x = 134,197 × 134,197
  4. Step 4: Simplify right side
    62,735x = 18,008,834,809
  5. Step 5: Solve for x
    x = 18,008,834,809/62,735
  6. Step 6: Final answer
    x = 287,062.00

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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.