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Finding the Third Proportional to 74,086.50 and 114,890.25

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Solution

The third proportional to 74,086.50 and 114,890.25 is: 178,167.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,086.50 : 114,890.25 = 114,890.25 : x
  2. Step 2: Convert to fraction form
    74,086.50/114,890.25 = 114,890.25/x
  3. Step 3: Cross multiply
    74,086.50x = 114,890.25 × 114,890.25
  4. Step 4: Simplify right side
    74,086.50x = 13,199,769,545.06
  5. Step 5: Solve for x
    x = 13,199,769,545.06/74,086.50
  6. Step 6: Final answer
    x = 178,167.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.