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Finding the Third Proportional to 66,103 and 136,651

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Solution

The third proportional to 66,103 and 136,651 is: 282,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,103 : 136,651 = 136,651 : x
  2. Step 2: Convert to fraction form
    66,103/136,651 = 136,651/x
  3. Step 3: Cross multiply
    66,103x = 136,651 × 136,651
  4. Step 4: Simplify right side
    66,103x = 18,673,495,801
  5. Step 5: Solve for x
    x = 18,673,495,801/66,103
  6. Step 6: Final answer
    x = 282,490.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.