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Finding the Third Proportional to 63,232.50 and 94,684.50

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Solution

The third proportional to 63,232.50 and 94,684.50 is: 141,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,232.50 : 94,684.50 = 94,684.50 : x
  2. Step 2: Convert to fraction form
    63,232.50/94,684.50 = 94,684.50/x
  3. Step 3: Cross multiply
    63,232.50x = 94,684.50 × 94,684.50
  4. Step 4: Simplify right side
    63,232.50x = 8,965,154,540.25
  5. Step 5: Solve for x
    x = 8,965,154,540.25/63,232.50
  6. Step 6: Final answer
    x = 141,780.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.