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Finding the Third Proportional to 66,526.50 and 142,895.50

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Solution

The third proportional to 66,526.50 and 142,895.50 is: 306,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,526.50 : 142,895.50 = 142,895.50 : x
  2. Step 2: Convert to fraction form
    66,526.50/142,895.50 = 142,895.50/x
  3. Step 3: Cross multiply
    66,526.50x = 142,895.50 × 142,895.50
  4. Step 4: Simplify right side
    66,526.50x = 20,419,123,920.25
  5. Step 5: Solve for x
    x = 20,419,123,920.25/66,526.50
  6. Step 6: Final answer
    x = 306,932.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.