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Finding the Third Proportional to 59,185 and 127,154

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Solution

The third proportional to 59,185 and 127,154 is: 273,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,185 : 127,154 = 127,154 : x
  2. Step 2: Convert to fraction form
    59,185/127,154 = 127,154/x
  3. Step 3: Cross multiply
    59,185x = 127,154 × 127,154
  4. Step 4: Simplify right side
    59,185x = 16,168,139,716
  5. Step 5: Solve for x
    x = 16,168,139,716/59,185
  6. Step 6: Final answer
    x = 273,179.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.