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Finding the Third Proportional to 77,490 and 168,036

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Solution

The third proportional to 77,490 and 168,036 is: 364,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,490 : 168,036 = 168,036 : x
  2. Step 2: Convert to fraction form
    77,490/168,036 = 168,036/x
  3. Step 3: Cross multiply
    77,490x = 168,036 × 168,036
  4. Step 4: Simplify right side
    77,490x = 28,236,097,296
  5. Step 5: Solve for x
    x = 28,236,097,296/77,490
  6. Step 6: Final answer
    x = 364,383.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.