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Finding the Third Proportional to 89,641.50 and 131,870.25

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Solution

The third proportional to 89,641.50 and 131,870.25 is: 193,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,641.50 : 131,870.25 = 131,870.25 : x
  2. Step 2: Convert to fraction form
    89,641.50/131,870.25 = 131,870.25/x
  3. Step 3: Cross multiply
    89,641.50x = 131,870.25 × 131,870.25
  4. Step 4: Simplify right side
    89,641.50x = 17,389,762,835.06
  5. Step 5: Solve for x
    x = 17,389,762,835.06/89,641.50
  6. Step 6: Final answer
    x = 193,992.32

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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.