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Finding the Third Proportional to 59,158 and 127,696

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Solution

The third proportional to 59,158 and 127,696 is: 275,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,158 : 127,696 = 127,696 : x
  2. Step 2: Convert to fraction form
    59,158/127,696 = 127,696/x
  3. Step 3: Cross multiply
    59,158x = 127,696 × 127,696
  4. Step 4: Simplify right side
    59,158x = 16,306,268,416
  5. Step 5: Solve for x
    x = 16,306,268,416/59,158
  6. Step 6: Final answer
    x = 275,639.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.