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Finding the Third Proportional to 51,343.38 and 112,349.13

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Solution

The third proportional to 51,343.38 and 112,349.13 is: 245,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,343.38 : 112,349.13 = 112,349.13 : x
  2. Step 2: Convert to fraction form
    51,343.38/112,349.13 = 112,349.13/x
  3. Step 3: Cross multiply
    51,343.38x = 112,349.13 × 112,349.13
  4. Step 4: Simplify right side
    51,343.38x = 12,622,325,888.27
  5. Step 5: Solve for x
    x = 12,622,325,888.27/51,343.38
  6. Step 6: Final answer
    x = 245,841.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.