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Finding the Third Proportional to 172,091.25 and 253,071.75

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Solution

The third proportional to 172,091.25 and 253,071.75 is: 372,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,091.25 : 253,071.75 = 253,071.75 : x
  2. Step 2: Convert to fraction form
    172,091.25/253,071.75 = 253,071.75/x
  3. Step 3: Cross multiply
    172,091.25x = 253,071.75 × 253,071.75
  4. Step 4: Simplify right side
    172,091.25x = 64,045,310,648.06
  5. Step 5: Solve for x
    x = 64,045,310,648.06/172,091.25
  6. Step 6: Final answer
    x = 372,159.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.