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Finding the Third Proportional to 51,189.38 and 77,499.75

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Solution

The third proportional to 51,189.38 and 77,499.75 is: 117,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,189.38 : 77,499.75 = 77,499.75 : x
  2. Step 2: Convert to fraction form
    51,189.38/77,499.75 = 77,499.75/x
  3. Step 3: Cross multiply
    51,189.38x = 77,499.75 × 77,499.75
  4. Step 4: Simplify right side
    51,189.38x = 6,006,211,250.06
  5. Step 5: Solve for x
    x = 6,006,211,250.06/51,189.38
  6. Step 6: Final answer
    x = 117,333.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.