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Finding the Third Proportional to 66,049.50 and 102,315

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Solution

The third proportional to 66,049.50 and 102,315 is: 158,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,049.50 : 102,315 = 102,315 : x
  2. Step 2: Convert to fraction form
    66,049.50/102,315 = 102,315/x
  3. Step 3: Cross multiply
    66,049.50x = 102,315 × 102,315
  4. Step 4: Simplify right side
    66,049.50x = 10,468,359,225
  5. Step 5: Solve for x
    x = 10,468,359,225/66,049.50
  6. Step 6: Final answer
    x = 158,492.63

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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.