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Finding the Third Proportional to 127,871.16 and 193,583.67

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Solution

The third proportional to 127,871.16 and 193,583.67 is: 293,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,871.16 : 193,583.67 = 193,583.67 : x
  2. Step 2: Convert to fraction form
    127,871.16/193,583.67 = 193,583.67/x
  3. Step 3: Cross multiply
    127,871.16x = 193,583.67 × 193,583.67
  4. Step 4: Simplify right side
    127,871.16x = 37,474,638,016.61
  5. Step 5: Solve for x
    x = 37,474,638,016.61/127,871.16
  6. Step 6: Final answer
    x = 293,065.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.