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Finding the Third Proportional to 76,317.38 and 112,189.69

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Solution

The third proportional to 76,317.38 and 112,189.69 is: 164,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,317.38 : 112,189.69 = 112,189.69 : x
  2. Step 2: Convert to fraction form
    76,317.38/112,189.69 = 112,189.69/x
  3. Step 3: Cross multiply
    76,317.38x = 112,189.69 × 112,189.69
  4. Step 4: Simplify right side
    76,317.38x = 12,586,525,981.35
  5. Step 5: Solve for x
    x = 12,586,525,981.35/76,317.38
  6. Step 6: Final answer
    x = 164,923.47

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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.