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Finding the Third Proportional to 76,141.13 and 112,004.44

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Solution

The third proportional to 76,141.13 and 112,004.44 is: 164,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141.13 : 112,004.44 = 112,004.44 : x
  2. Step 2: Convert to fraction form
    76,141.13/112,004.44 = 112,004.44/x
  3. Step 3: Cross multiply
    76,141.13x = 112,004.44 × 112,004.44
  4. Step 4: Simplify right side
    76,141.13x = 12,544,994,019.69
  5. Step 5: Solve for x
    x = 12,544,994,019.69/76,141.13
  6. Step 6: Final answer
    x = 164,759.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.