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Finding the Third Proportional to 132,027.75 and 285,098.63

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Solution

The third proportional to 132,027.75 and 285,098.63 is: 615,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,027.75 : 285,098.63 = 285,098.63 : x
  2. Step 2: Convert to fraction form
    132,027.75/285,098.63 = 285,098.63/x
  3. Step 3: Cross multiply
    132,027.75x = 285,098.63 × 285,098.63
  4. Step 4: Simplify right side
    132,027.75x = 81,281,225,976.89
  5. Step 5: Solve for x
    x = 81,281,225,976.89/132,027.75
  6. Step 6: Final answer
    x = 615,637.44

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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.