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Finding the Third Proportional to 78,701.63 and 123,114.94

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Solution

The third proportional to 78,701.63 and 123,114.94 is: 192,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,701.63 : 123,114.94 = 123,114.94 : x
  2. Step 2: Convert to fraction form
    78,701.63/123,114.94 = 123,114.94/x
  3. Step 3: Cross multiply
    78,701.63x = 123,114.94 × 123,114.94
  4. Step 4: Simplify right side
    78,701.63x = 15,157,287,835.63
  5. Step 5: Solve for x
    x = 15,157,287,835.63/78,701.63
  6. Step 6: Final answer
    x = 192,591.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.