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Finding the Third Proportional to 82,170 and 130,787

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Solution

The third proportional to 82,170 and 130,787 is: 208,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,170 : 130,787 = 130,787 : x
  2. Step 2: Convert to fraction form
    82,170/130,787 = 130,787/x
  3. Step 3: Cross multiply
    82,170x = 130,787 × 130,787
  4. Step 4: Simplify right side
    82,170x = 17,105,239,369
  5. Step 5: Solve for x
    x = 17,105,239,369/82,170
  6. Step 6: Final answer
    x = 208,168.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.