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Finding the Third Proportional to 77,939.72 and 114,134.06

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Solution

The third proportional to 77,939.72 and 114,134.06 is: 167,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,939.72 : 114,134.06 = 114,134.06 : x
  2. Step 2: Convert to fraction form
    77,939.72/114,134.06 = 114,134.06/x
  3. Step 3: Cross multiply
    77,939.72x = 114,134.06 × 114,134.06
  4. Step 4: Simplify right side
    77,939.72x = 13,026,584,222.75
  5. Step 5: Solve for x
    x = 13,026,584,222.75/77,939.72
  6. Step 6: Final answer
    x = 167,136.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.