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Finding the Third Proportional to 122,901.75 and 176,396.25

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Solution

The third proportional to 122,901.75 and 176,396.25 is: 253,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,901.75 : 176,396.25 = 176,396.25 : x
  2. Step 2: Convert to fraction form
    122,901.75/176,396.25 = 176,396.25/x
  3. Step 3: Cross multiply
    122,901.75x = 176,396.25 × 176,396.25
  4. Step 4: Simplify right side
    122,901.75x = 31,115,637,014.06
  5. Step 5: Solve for x
    x = 31,115,637,014.06/122,901.75
  6. Step 6: Final answer
    x = 253,174.89

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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.