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Finding the Third Proportional to 124,474.50 and 178,935.75

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Solution

The third proportional to 124,474.50 and 178,935.75 is: 257,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,474.50 : 178,935.75 = 178,935.75 : x
  2. Step 2: Convert to fraction form
    124,474.50/178,935.75 = 178,935.75/x
  3. Step 3: Cross multiply
    124,474.50x = 178,935.75 × 178,935.75
  4. Step 4: Simplify right side
    124,474.50x = 32,018,002,628.06
  5. Step 5: Solve for x
    x = 32,018,002,628.06/124,474.50
  6. Step 6: Final answer
    x = 257,225.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.