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Finding the Third Proportional to 59,696 and 125,128

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Solution

The third proportional to 59,696 and 125,128 is: 262,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,696 : 125,128 = 125,128 : x
  2. Step 2: Convert to fraction form
    59,696/125,128 = 125,128/x
  3. Step 3: Cross multiply
    59,696x = 125,128 × 125,128
  4. Step 4: Simplify right side
    59,696x = 15,657,016,384
  5. Step 5: Solve for x
    x = 15,657,016,384/59,696
  6. Step 6: Final answer
    x = 262,279.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.