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Finding the Third Proportional to 132,035 and 285,114.25

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Solution

The third proportional to 132,035 and 285,114.25 is: 615,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,035 : 285,114.25 = 285,114.25 : x
  2. Step 2: Convert to fraction form
    132,035/285,114.25 = 285,114.25/x
  3. Step 3: Cross multiply
    132,035x = 285,114.25 × 285,114.25
  4. Step 4: Simplify right side
    132,035x = 81,290,135,553.06
  5. Step 5: Solve for x
    x = 81,290,135,553.06/132,035
  6. Step 6: Final answer
    x = 615,671.11

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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.