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Finding the Third Proportional to 79,548 and 174,402

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Solution

The third proportional to 79,548 and 174,402 is: 382,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,548 : 174,402 = 174,402 : x
  2. Step 2: Convert to fraction form
    79,548/174,402 = 174,402/x
  3. Step 3: Cross multiply
    79,548x = 174,402 × 174,402
  4. Step 4: Simplify right side
    79,548x = 30,416,057,604
  5. Step 5: Solve for x
    x = 30,416,057,604/79,548
  6. Step 6: Final answer
    x = 382,361.06

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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.