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Finding the Third Proportional to 136,010 and 291,676

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Solution

The third proportional to 136,010 and 291,676 is: 625,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,010 : 291,676 = 291,676 : x
  2. Step 2: Convert to fraction form
    136,010/291,676 = 291,676/x
  3. Step 3: Cross multiply
    136,010x = 291,676 × 291,676
  4. Step 4: Simplify right side
    136,010x = 85,074,888,976
  5. Step 5: Solve for x
    x = 85,074,888,976/136,010
  6. Step 6: Final answer
    x = 625,504.66

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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.