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Finding the Third Proportional to 123,252.75 and 176,130.75

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Solution

The third proportional to 123,252.75 and 176,130.75 is: 251,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,252.75 : 176,130.75 = 176,130.75 : x
  2. Step 2: Convert to fraction form
    123,252.75/176,130.75 = 176,130.75/x
  3. Step 3: Cross multiply
    123,252.75x = 176,130.75 × 176,130.75
  4. Step 4: Simplify right side
    123,252.75x = 31,022,041,095.56
  5. Step 5: Solve for x
    x = 31,022,041,095.56/123,252.75
  6. Step 6: Final answer
    x = 251,694.51

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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.