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Finding the Third Proportional to 76,143.75 and 112,008

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Solution

The third proportional to 76,143.75 and 112,008 is: 164,764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,143.75 : 112,008 = 112,008 : x
  2. Step 2: Convert to fraction form
    76,143.75/112,008 = 112,008/x
  3. Step 3: Cross multiply
    76,143.75x = 112,008 × 112,008
  4. Step 4: Simplify right side
    76,143.75x = 12,545,792,064
  5. Step 5: Solve for x
    x = 12,545,792,064/76,143.75
  6. Step 6: Final answer
    x = 164,764.57

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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.