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Finding the Third Proportional to 77,574 and 158,412

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Solution

The third proportional to 77,574 and 158,412 is: 323,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574 : 158,412 = 158,412 : x
  2. Step 2: Convert to fraction form
    77,574/158,412 = 158,412/x
  3. Step 3: Cross multiply
    77,574x = 158,412 × 158,412
  4. Step 4: Simplify right side
    77,574x = 25,094,361,744
  5. Step 5: Solve for x
    x = 25,094,361,744/77,574
  6. Step 6: Final answer
    x = 323,489.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.