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Finding the Third Proportional to 122,904 and 176,399

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Solution

The third proportional to 122,904 and 176,399 is: 253,178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 176,399 = 176,399 : x
  2. Step 2: Convert to fraction form
    122,904/176,399 = 176,399/x
  3. Step 3: Cross multiply
    122,904x = 176,399 × 176,399
  4. Step 4: Simplify right side
    122,904x = 31,116,607,201
  5. Step 5: Solve for x
    x = 31,116,607,201/122,904
  6. Step 6: Final answer
    x = 253,178.15

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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.