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Finding the Third Proportional to 89,728.50 and 130,416.50

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Solution

The third proportional to 89,728.50 and 130,416.50 is: 189,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728.50 : 130,416.50 = 130,416.50 : x
  2. Step 2: Convert to fraction form
    89,728.50/130,416.50 = 130,416.50/x
  3. Step 3: Cross multiply
    89,728.50x = 130,416.50 × 130,416.50
  4. Step 4: Simplify right side
    89,728.50x = 17,008,463,472.25
  5. Step 5: Solve for x
    x = 17,008,463,472.25/89,728.50
  6. Step 6: Final answer
    x = 189,554.75

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.