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Finding the Third Proportional to 136,122 and 294,132

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Solution

The third proportional to 136,122 and 294,132 is: 635,559.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,122 : 294,132 = 294,132 : x
  2. Step 2: Convert to fraction form
    136,122/294,132 = 294,132/x
  3. Step 3: Cross multiply
    136,122x = 294,132 × 294,132
  4. Step 4: Simplify right side
    136,122x = 86,513,633,424
  5. Step 5: Solve for x
    x = 86,513,633,424/136,122
  6. Step 6: Final answer
    x = 635,559.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.