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Finding the Third Proportional to 132,030.75 and 285,105

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Solution

The third proportional to 132,030.75 and 285,105 is: 615,650.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030.75 : 285,105 = 285,105 : x
  2. Step 2: Convert to fraction form
    132,030.75/285,105 = 285,105/x
  3. Step 3: Cross multiply
    132,030.75x = 285,105 × 285,105
  4. Step 4: Simplify right side
    132,030.75x = 81,284,861,025
  5. Step 5: Solve for x
    x = 81,284,861,025/132,030.75
  6. Step 6: Final answer
    x = 615,650.98

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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.