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Finding the Third Proportional to 51,343.50 and 112,349.63

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Solution

The third proportional to 51,343.50 and 112,349.63 is: 245,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,343.50 : 112,349.63 = 112,349.63 : x
  2. Step 2: Convert to fraction form
    51,343.50/112,349.63 = 112,349.63/x
  3. Step 3: Cross multiply
    51,343.50x = 112,349.63 × 112,349.63
  4. Step 4: Simplify right side
    51,343.50x = 12,622,438,237.64
  5. Step 5: Solve for x
    x = 12,622,438,237.64/51,343.50
  6. Step 6: Final answer
    x = 245,842.96

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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.