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Finding the Third Proportional to 136,033 and 291,722

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Solution

The third proportional to 136,033 and 291,722 is: 625,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,033 : 291,722 = 291,722 : x
  2. Step 2: Convert to fraction form
    136,033/291,722 = 291,722/x
  3. Step 3: Cross multiply
    136,033x = 291,722 × 291,722
  4. Step 4: Simplify right side
    136,033x = 85,101,725,284
  5. Step 5: Solve for x
    x = 85,101,725,284/136,033
  6. Step 6: Final answer
    x = 625,596.18

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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.