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Finding the Third Proportional to 89,896.50 and 129,492

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Solution

The third proportional to 89,896.50 and 129,492 is: 186,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,896.50 : 129,492 = 129,492 : x
  2. Step 2: Convert to fraction form
    89,896.50/129,492 = 129,492/x
  3. Step 3: Cross multiply
    89,896.50x = 129,492 × 129,492
  4. Step 4: Simplify right side
    89,896.50x = 16,768,178,064
  5. Step 5: Solve for x
    x = 16,768,178,064/89,896.50
  6. Step 6: Final answer
    x = 186,527.60

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.