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Finding the Third Proportional to 77,940.19 and 114,134.25

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Solution

The third proportional to 77,940.19 and 114,134.25 is: 167,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,940.19 : 114,134.25 = 114,134.25 : x
  2. Step 2: Convert to fraction form
    77,940.19/114,134.25 = 114,134.25/x
  3. Step 3: Cross multiply
    77,940.19x = 114,134.25 × 114,134.25
  4. Step 4: Simplify right side
    77,940.19x = 13,026,627,023.06
  5. Step 5: Solve for x
    x = 13,026,627,023.06/77,940.19
  6. Step 6: Final answer
    x = 167,136.20

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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.