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Finding the Third Proportional to 79,608 and 174,534

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Solution

The third proportional to 79,608 and 174,534 is: 382,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,608 : 174,534 = 174,534 : x
  2. Step 2: Convert to fraction form
    79,608/174,534 = 174,534/x
  3. Step 3: Cross multiply
    79,608x = 174,534 × 174,534
  4. Step 4: Simplify right side
    79,608x = 30,462,117,156
  5. Step 5: Solve for x
    x = 30,462,117,156/79,608
  6. Step 6: Final answer
    x = 382,651.46

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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.