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Finding the Third Proportional to 85,457.25 and 132,665.63

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Solution

The third proportional to 85,457.25 and 132,665.63 is: 205,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457.25 : 132,665.63 = 132,665.63 : x
  2. Step 2: Convert to fraction form
    85,457.25/132,665.63 = 132,665.63/x
  3. Step 3: Cross multiply
    85,457.25x = 132,665.63 × 132,665.63
  4. Step 4: Simplify right side
    85,457.25x = 17,600,168,056.64
  5. Step 5: Solve for x
    x = 17,600,168,056.64/85,457.25
  6. Step 6: Final answer
    x = 205,952.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.