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Finding the Third Proportional to 99,000.50 and 131,275.50

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Solution

The third proportional to 99,000.50 and 131,275.50 is: 174,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,000.50 : 131,275.50 = 131,275.50 : x
  2. Step 2: Convert to fraction form
    99,000.50/131,275.50 = 131,275.50/x
  3. Step 3: Cross multiply
    99,000.50x = 131,275.50 × 131,275.50
  4. Step 4: Simplify right side
    99,000.50x = 17,233,256,900.25
  5. Step 5: Solve for x
    x = 17,233,256,900.25/99,000.50
  6. Step 6: Final answer
    x = 174,072.42

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.