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Finding the Third Proportional to 84,164 and 130,918

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Solution

The third proportional to 84,164 and 130,918 is: 203,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164 : 130,918 = 130,918 : x
  2. Step 2: Convert to fraction form
    84,164/130,918 = 130,918/x
  3. Step 3: Cross multiply
    84,164x = 130,918 × 130,918
  4. Step 4: Simplify right side
    84,164x = 17,139,522,724
  5. Step 5: Solve for x
    x = 17,139,522,724/84,164
  6. Step 6: Final answer
    x = 203,644.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.