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Finding the Third Proportional to 135,746 and 207,651

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Solution

The third proportional to 135,746 and 207,651 is: 317,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,746 : 207,651 = 207,651 : x
  2. Step 2: Convert to fraction form
    135,746/207,651 = 207,651/x
  3. Step 3: Cross multiply
    135,746x = 207,651 × 207,651
  4. Step 4: Simplify right side
    135,746x = 43,118,937,801
  5. Step 5: Solve for x
    x = 43,118,937,801/135,746
  6. Step 6: Final answer
    x = 317,644.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.