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Finding the Third Proportional to 136,316 and 195,126

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Solution

The third proportional to 136,316 and 195,126 is: 279,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,316 : 195,126 = 195,126 : x
  2. Step 2: Convert to fraction form
    136,316/195,126 = 195,126/x
  3. Step 3: Cross multiply
    136,316x = 195,126 × 195,126
  4. Step 4: Simplify right side
    136,316x = 38,074,155,876
  5. Step 5: Solve for x
    x = 38,074,155,876/136,316
  6. Step 6: Final answer
    x = 279,308.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.