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Finding the Third Proportional to 86,084 and 130,424

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Solution

The third proportional to 86,084 and 130,424 is: 197,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,084 : 130,424 = 130,424 : x
  2. Step 2: Convert to fraction form
    86,084/130,424 = 130,424/x
  3. Step 3: Cross multiply
    86,084x = 130,424 × 130,424
  4. Step 4: Simplify right side
    86,084x = 17,010,419,776
  5. Step 5: Solve for x
    x = 17,010,419,776/86,084
  6. Step 6: Final answer
    x = 197,602.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.