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Finding the Third Proportional to 132,035 and 285,114

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Solution

The third proportional to 132,035 and 285,114 is: 615,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,035 : 285,114 = 285,114 : x
  2. Step 2: Convert to fraction form
    132,035/285,114 = 285,114/x
  3. Step 3: Cross multiply
    132,035x = 285,114 × 285,114
  4. Step 4: Simplify right side
    132,035x = 81,289,992,996
  5. Step 5: Solve for x
    x = 81,289,992,996/132,035
  6. Step 6: Final answer
    x = 615,670.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.