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Finding the Third Proportional to 77,706 and 113,982

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Solution

The third proportional to 77,706 and 113,982 is: 167,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706 : 113,982 = 113,982 : x
  2. Step 2: Convert to fraction form
    77,706/113,982 = 113,982/x
  3. Step 3: Cross multiply
    77,706x = 113,982 × 113,982
  4. Step 4: Simplify right side
    77,706x = 12,991,896,324
  5. Step 5: Solve for x
    x = 12,991,896,324/77,706
  6. Step 6: Final answer
    x = 167,192.96

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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.