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Finding the Third Proportional to 79,886.25 and 174,717

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Solution

The third proportional to 79,886.25 and 174,717 is: 382,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,886.25 : 174,717 = 174,717 : x
  2. Step 2: Convert to fraction form
    79,886.25/174,717 = 174,717/x
  3. Step 3: Cross multiply
    79,886.25x = 174,717 × 174,717
  4. Step 4: Simplify right side
    79,886.25x = 30,526,030,089
  5. Step 5: Solve for x
    x = 30,526,030,089/79,886.25
  6. Step 6: Final answer
    x = 382,118.70

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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.