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Finding the Third Proportional to 76,319 and 112,191

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Solution

The third proportional to 76,319 and 112,191 is: 164,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,319 : 112,191 = 112,191 : x
  2. Step 2: Convert to fraction form
    76,319/112,191 = 112,191/x
  3. Step 3: Cross multiply
    76,319x = 112,191 × 112,191
  4. Step 4: Simplify right side
    76,319x = 12,586,820,481
  5. Step 5: Solve for x
    x = 12,586,820,481/76,319
  6. Step 6: Final answer
    x = 164,923.81

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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.