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Finding the Third Proportional to 66,946.50 and 91,165.50

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Solution

The third proportional to 66,946.50 and 91,165.50 is: 124,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,946.50 : 91,165.50 = 91,165.50 : x
  2. Step 2: Convert to fraction form
    66,946.50/91,165.50 = 91,165.50/x
  3. Step 3: Cross multiply
    66,946.50x = 91,165.50 × 91,165.50
  4. Step 4: Simplify right side
    66,946.50x = 8,311,148,390.25
  5. Step 5: Solve for x
    x = 8,311,148,390.25/66,946.50
  6. Step 6: Final answer
    x = 124,146.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.