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Finding the Third Proportional to 136,345.78 and 164,230.03

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Solution

The third proportional to 136,345.78 and 164,230.03 is: 197,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,345.78 : 164,230.03 = 164,230.03 : x
  2. Step 2: Convert to fraction form
    136,345.78/164,230.03 = 164,230.03/x
  3. Step 3: Cross multiply
    136,345.78x = 164,230.03 × 164,230.03
  4. Step 4: Simplify right side
    136,345.78x = 26,971,503,164.38
  5. Step 5: Solve for x
    x = 26,971,503,164.38/136,345.78
  6. Step 6: Final answer
    x = 197,816.92

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.