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Finding the Third Proportional to 85,903.03 and 131,406.05

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Solution

The third proportional to 85,903.03 and 131,406.05 is: 201,012.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,903.03 : 131,406.05 = 131,406.05 : x
  2. Step 2: Convert to fraction form
    85,903.03/131,406.05 = 131,406.05/x
  3. Step 3: Cross multiply
    85,903.03x = 131,406.05 × 131,406.05
  4. Step 4: Simplify right side
    85,903.03x = 17,267,549,155.31
  5. Step 5: Solve for x
    x = 17,267,549,155.31/85,903.03
  6. Step 6: Final answer
    x = 201,012.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.