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Finding the Third Proportional to 84,433.50 and 130,302

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Solution

The third proportional to 84,433.50 and 130,302 is: 201,088.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,433.50 : 130,302 = 130,302 : x
  2. Step 2: Convert to fraction form
    84,433.50/130,302 = 130,302/x
  3. Step 3: Cross multiply
    84,433.50x = 130,302 × 130,302
  4. Step 4: Simplify right side
    84,433.50x = 16,978,611,204
  5. Step 5: Solve for x
    x = 16,978,611,204/84,433.50
  6. Step 6: Final answer
    x = 201,088.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.