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Finding the Third Proportional to 84,186 and 130,032

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Solution

The third proportional to 84,186 and 130,032 is: 200,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,186 : 130,032 = 130,032 : x
  2. Step 2: Convert to fraction form
    84,186/130,032 = 130,032/x
  3. Step 3: Cross multiply
    84,186x = 130,032 × 130,032
  4. Step 4: Simplify right side
    84,186x = 16,908,321,024
  5. Step 5: Solve for x
    x = 16,908,321,024/84,186
  6. Step 6: Final answer
    x = 200,844.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.