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Finding the Third Proportional to 82,027.13 and 178,877.25

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Solution

The third proportional to 82,027.13 and 178,877.25 is: 390,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027.13 : 178,877.25 = 178,877.25 : x
  2. Step 2: Convert to fraction form
    82,027.13/178,877.25 = 178,877.25/x
  3. Step 3: Cross multiply
    82,027.13x = 178,877.25 × 178,877.25
  4. Step 4: Simplify right side
    82,027.13x = 31,997,070,567.56
  5. Step 5: Solve for x
    x = 31,997,070,567.56/82,027.13
  6. Step 6: Final answer
    x = 390,079.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.