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Finding the Third Proportional to 132,025.50 and 285,095

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Solution

The third proportional to 132,025.50 and 285,095 is: 615,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,025.50 : 285,095 = 285,095 : x
  2. Step 2: Convert to fraction form
    132,025.50/285,095 = 285,095/x
  3. Step 3: Cross multiply
    132,025.50x = 285,095 × 285,095
  4. Step 4: Simplify right side
    132,025.50x = 81,279,159,025
  5. Step 5: Solve for x
    x = 81,279,159,025/132,025.50
  6. Step 6: Final answer
    x = 615,632.28

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