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Finding the Third Proportional to 88,123 and 125,623

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Solution

The third proportional to 88,123 and 125,623 is: 179,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,123 : 125,623 = 125,623 : x
  2. Step 2: Convert to fraction form
    88,123/125,623 = 125,623/x
  3. Step 3: Cross multiply
    88,123x = 125,623 × 125,623
  4. Step 4: Simplify right side
    88,123x = 15,781,138,129
  5. Step 5: Solve for x
    x = 15,781,138,129/88,123
  6. Step 6: Final answer
    x = 179,080.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.