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Finding the Third Proportional to 112,972 and 165,682

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Solution

The third proportional to 112,972 and 165,682 is: 242,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,972 : 165,682 = 165,682 : x
  2. Step 2: Convert to fraction form
    112,972/165,682 = 165,682/x
  3. Step 3: Cross multiply
    112,972x = 165,682 × 165,682
  4. Step 4: Simplify right side
    112,972x = 27,450,525,124
  5. Step 5: Solve for x
    x = 27,450,525,124/112,972
  6. Step 6: Final answer
    x = 242,985.21

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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.