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Finding the Third Proportional to 80,599.50 and 141,691.50

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Solution

The third proportional to 80,599.50 and 141,691.50 is: 249,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,599.50 : 141,691.50 = 141,691.50 : x
  2. Step 2: Convert to fraction form
    80,599.50/141,691.50 = 141,691.50/x
  3. Step 3: Cross multiply
    80,599.50x = 141,691.50 × 141,691.50
  4. Step 4: Simplify right side
    80,599.50x = 20,076,481,172.25
  5. Step 5: Solve for x
    x = 20,076,481,172.25/80,599.50
  6. Step 6: Final answer
    x = 249,089.40

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.