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Finding the Third Proportional to 76,686 and 112,446

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Solution

The third proportional to 76,686 and 112,446 is: 164,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,686 : 112,446 = 112,446 : x
  2. Step 2: Convert to fraction form
    76,686/112,446 = 112,446/x
  3. Step 3: Cross multiply
    76,686x = 112,446 × 112,446
  4. Step 4: Simplify right side
    76,686x = 12,644,102,916
  5. Step 5: Solve for x
    x = 12,644,102,916/76,686
  6. Step 6: Final answer
    x = 164,881.50

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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.