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Finding the Third Proportional to 77,412 and 179,202

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Solution

The third proportional to 77,412 and 179,202 is: 414,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412 : 179,202 = 179,202 : x
  2. Step 2: Convert to fraction form
    77,412/179,202 = 179,202/x
  3. Step 3: Cross multiply
    77,412x = 179,202 × 179,202
  4. Step 4: Simplify right side
    77,412x = 32,113,356,804
  5. Step 5: Solve for x
    x = 32,113,356,804/77,412
  6. Step 6: Final answer
    x = 414,836.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.