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Finding the Third Proportional to 79,897 and 174,827

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Solution

The third proportional to 79,897 and 174,827 is: 382,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,897 : 174,827 = 174,827 : x
  2. Step 2: Convert to fraction form
    79,897/174,827 = 174,827/x
  3. Step 3: Cross multiply
    79,897x = 174,827 × 174,827
  4. Step 4: Simplify right side
    79,897x = 30,564,479,929
  5. Step 5: Solve for x
    x = 30,564,479,929/79,897
  6. Step 6: Final answer
    x = 382,548.53

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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.