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Finding the Third Proportional to 75,979.50 and 175,902

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Solution

The third proportional to 75,979.50 and 175,902 is: 407,235.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,979.50 : 175,902 = 175,902 : x
  2. Step 2: Convert to fraction form
    75,979.50/175,902 = 175,902/x
  3. Step 3: Cross multiply
    75,979.50x = 175,902 × 175,902
  4. Step 4: Simplify right side
    75,979.50x = 30,941,513,604
  5. Step 5: Solve for x
    x = 30,941,513,604/75,979.50
  6. Step 6: Final answer
    x = 407,235.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.