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Finding the Third Proportional to 51,964.03 and 112,402.69

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Solution

The third proportional to 51,964.03 and 112,402.69 is: 243,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964.03 : 112,402.69 = 112,402.69 : x
  2. Step 2: Convert to fraction form
    51,964.03/112,402.69 = 112,402.69/x
  3. Step 3: Cross multiply
    51,964.03x = 112,402.69 × 112,402.69
  4. Step 4: Simplify right side
    51,964.03x = 12,634,364,157.22
  5. Step 5: Solve for x
    x = 12,634,364,157.22/51,964.03
  6. Step 6: Final answer
    x = 243,136.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.