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Finding the Third Proportional to 136,009.13 and 236,089.69

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Solution

The third proportional to 136,009.13 and 236,089.69 is: 409,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,009.13 : 236,089.69 = 236,089.69 : x
  2. Step 2: Convert to fraction form
    136,009.13/236,089.69 = 236,089.69/x
  3. Step 3: Cross multiply
    136,009.13x = 236,089.69 × 236,089.69
  4. Step 4: Simplify right side
    136,009.13x = 55,738,340,543.85
  5. Step 5: Solve for x
    x = 55,738,340,543.85/136,009.13
  6. Step 6: Final answer
    x = 409,813.24

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.