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Finding the Third Proportional to 75,084.75 and 133,476

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Solution

The third proportional to 75,084.75 and 133,476 is: 237,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,084.75 : 133,476 = 133,476 : x
  2. Step 2: Convert to fraction form
    75,084.75/133,476 = 133,476/x
  3. Step 3: Cross multiply
    75,084.75x = 133,476 × 133,476
  4. Step 4: Simplify right side
    75,084.75x = 17,815,842,576
  5. Step 5: Solve for x
    x = 17,815,842,576/75,084.75
  6. Step 6: Final answer
    x = 237,276.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.