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Finding the Third Proportional to 52,071.50 and 112,054

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Solution

The third proportional to 52,071.50 and 112,054 is: 241,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071.50 : 112,054 = 112,054 : x
  2. Step 2: Convert to fraction form
    52,071.50/112,054 = 112,054/x
  3. Step 3: Cross multiply
    52,071.50x = 112,054 × 112,054
  4. Step 4: Simplify right side
    52,071.50x = 12,556,098,916
  5. Step 5: Solve for x
    x = 12,556,098,916/52,071.50
  6. Step 6: Final answer
    x = 241,131.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.