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Finding the Third Proportional to 122,174.50 and 172,045.50

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Solution

The third proportional to 122,174.50 and 172,045.50 is: 242,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,174.50 : 172,045.50 = 172,045.50 : x
  2. Step 2: Convert to fraction form
    122,174.50/172,045.50 = 172,045.50/x
  3. Step 3: Cross multiply
    122,174.50x = 172,045.50 × 172,045.50
  4. Step 4: Simplify right side
    122,174.50x = 29,599,654,070.25
  5. Step 5: Solve for x
    x = 29,599,654,070.25/122,174.50
  6. Step 6: Final answer
    x = 242,273.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.