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Finding the Third Proportional to 76,035.38 and 113,430.38

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Solution

The third proportional to 76,035.38 and 113,430.38 is: 169,216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,035.38 : 113,430.38 = 113,430.38 : x
  2. Step 2: Convert to fraction form
    76,035.38/113,430.38 = 113,430.38/x
  3. Step 3: Cross multiply
    76,035.38x = 113,430.38 × 113,430.38
  4. Step 4: Simplify right side
    76,035.38x = 12,866,449,972.64
  5. Step 5: Solve for x
    x = 12,866,449,972.64/76,035.38
  6. Step 6: Final answer
    x = 169,216.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.