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Finding the Third Proportional to 58,761 and 128,161.13

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Solution

The third proportional to 58,761 and 128,161.13 is: 279,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,761 : 128,161.13 = 128,161.13 : x
  2. Step 2: Convert to fraction form
    58,761/128,161.13 = 128,161.13/x
  3. Step 3: Cross multiply
    58,761x = 128,161.13 × 128,161.13
  4. Step 4: Simplify right side
    58,761x = 16,425,273,961.27
  5. Step 5: Solve for x
    x = 16,425,273,961.27/58,761
  6. Step 6: Final answer
    x = 279,526.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.