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Finding the Third Proportional to 76,598 and 162,028

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Solution

The third proportional to 76,598 and 162,028 is: 342,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,598 : 162,028 = 162,028 : x
  2. Step 2: Convert to fraction form
    76,598/162,028 = 162,028/x
  3. Step 3: Cross multiply
    76,598x = 162,028 × 162,028
  4. Step 4: Simplify right side
    76,598x = 26,253,072,784
  5. Step 5: Solve for x
    x = 26,253,072,784/76,598
  6. Step 6: Final answer
    x = 342,738.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.