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Finding the Third Proportional to 71,951 and 112,623

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Solution

The third proportional to 71,951 and 112,623 is: 176,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,951 : 112,623 = 112,623 : x
  2. Step 2: Convert to fraction form
    71,951/112,623 = 112,623/x
  3. Step 3: Cross multiply
    71,951x = 112,623 × 112,623
  4. Step 4: Simplify right side
    71,951x = 12,683,940,129
  5. Step 5: Solve for x
    x = 12,683,940,129/71,951
  6. Step 6: Final answer
    x = 176,285.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.