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Finding the Third Proportional to 78,368.50 and 141,185

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Solution

The third proportional to 78,368.50 and 141,185 is: 254,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368.50 : 141,185 = 141,185 : x
  2. Step 2: Convert to fraction form
    78,368.50/141,185 = 141,185/x
  3. Step 3: Cross multiply
    78,368.50x = 141,185 × 141,185
  4. Step 4: Simplify right side
    78,368.50x = 19,933,204,225
  5. Step 5: Solve for x
    x = 19,933,204,225/78,368.50
  6. Step 6: Final answer
    x = 254,352.25

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.