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Finding the Third Proportional to 59,252 and 125,164

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Solution

The third proportional to 59,252 and 125,164 is: 264,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,252 : 125,164 = 125,164 : x
  2. Step 2: Convert to fraction form
    59,252/125,164 = 125,164/x
  3. Step 3: Cross multiply
    59,252x = 125,164 × 125,164
  4. Step 4: Simplify right side
    59,252x = 15,666,026,896
  5. Step 5: Solve for x
    x = 15,666,026,896/59,252
  6. Step 6: Final answer
    x = 264,396.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.