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Finding the Third Proportional to 132,043.50 and 285,129

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Solution

The third proportional to 132,043.50 and 285,129 is: 615,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,043.50 : 285,129 = 285,129 : x
  2. Step 2: Convert to fraction form
    132,043.50/285,129 = 285,129/x
  3. Step 3: Cross multiply
    132,043.50x = 285,129 × 285,129
  4. Step 4: Simplify right side
    132,043.50x = 81,298,546,641
  5. Step 5: Solve for x
    x = 81,298,546,641/132,043.50
  6. Step 6: Final answer
    x = 615,695.18

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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.