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Finding the Third Proportional to 95,685.75 and 136,966.50

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Solution

The third proportional to 95,685.75 and 136,966.50 is: 196,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,685.75 : 136,966.50 = 136,966.50 : x
  2. Step 2: Convert to fraction form
    95,685.75/136,966.50 = 136,966.50/x
  3. Step 3: Cross multiply
    95,685.75x = 136,966.50 × 136,966.50
  4. Step 4: Simplify right side
    95,685.75x = 18,759,822,122.25
  5. Step 5: Solve for x
    x = 18,759,822,122.25/95,685.75
  6. Step 6: Final answer
    x = 196,056.59

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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.