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Finding the Third Proportional to 51,339 and 103,441.13

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Solution

The third proportional to 51,339 and 103,441.13 is: 208,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,339 : 103,441.13 = 103,441.13 : x
  2. Step 2: Convert to fraction form
    51,339/103,441.13 = 103,441.13/x
  3. Step 3: Cross multiply
    51,339x = 103,441.13 × 103,441.13
  4. Step 4: Simplify right side
    51,339x = 10,700,066,341.27
  5. Step 5: Solve for x
    x = 10,700,066,341.27/51,339
  6. Step 6: Final answer
    x = 208,419.84

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.