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Finding the Third Proportional to 79,930 and 175,088

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Solution

The third proportional to 79,930 and 175,088 is: 383,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,930 : 175,088 = 175,088 : x
  2. Step 2: Convert to fraction form
    79,930/175,088 = 175,088/x
  3. Step 3: Cross multiply
    79,930x = 175,088 × 175,088
  4. Step 4: Simplify right side
    79,930x = 30,655,807,744
  5. Step 5: Solve for x
    x = 30,655,807,744/79,930
  6. Step 6: Final answer
    x = 383,533.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.