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Finding the Third Proportional to 124,942.50 and 178,068.09

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Solution

The third proportional to 124,942.50 and 178,068.09 is: 253,782.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,942.50 : 178,068.09 = 178,068.09 : x
  2. Step 2: Convert to fraction form
    124,942.50/178,068.09 = 178,068.09/x
  3. Step 3: Cross multiply
    124,942.50x = 178,068.09 × 178,068.09
  4. Step 4: Simplify right side
    124,942.50x = 31,708,246,011.76
  5. Step 5: Solve for x
    x = 31,708,246,011.76/124,942.50
  6. Step 6: Final answer
    x = 253,782.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.