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Finding the Third Proportional to 89,931 and 131,980.50

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Solution

The third proportional to 89,931 and 131,980.50 is: 193,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,931 : 131,980.50 = 131,980.50 : x
  2. Step 2: Convert to fraction form
    89,931/131,980.50 = 131,980.50/x
  3. Step 3: Cross multiply
    89,931x = 131,980.50 × 131,980.50
  4. Step 4: Simplify right side
    89,931x = 17,418,852,380.25
  5. Step 5: Solve for x
    x = 17,418,852,380.25/89,931
  6. Step 6: Final answer
    x = 193,691.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.