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Finding the Third Proportional to 59,187 and 127,158

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Solution

The third proportional to 59,187 and 127,158 is: 273,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,187 : 127,158 = 127,158 : x
  2. Step 2: Convert to fraction form
    59,187/127,158 = 127,158/x
  3. Step 3: Cross multiply
    59,187x = 127,158 × 127,158
  4. Step 4: Simplify right side
    59,187x = 16,169,156,964
  5. Step 5: Solve for x
    x = 16,169,156,964/59,187
  6. Step 6: Final answer
    x = 273,187.64

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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.