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Finding the Third Proportional to 69,343.50 and 141,973.50

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Solution

The third proportional to 69,343.50 and 141,973.50 is: 290,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,343.50 : 141,973.50 = 141,973.50 : x
  2. Step 2: Convert to fraction form
    69,343.50/141,973.50 = 141,973.50/x
  3. Step 3: Cross multiply
    69,343.50x = 141,973.50 × 141,973.50
  4. Step 4: Simplify right side
    69,343.50x = 20,156,474,702.25
  5. Step 5: Solve for x
    x = 20,156,474,702.25/69,343.50
  6. Step 6: Final answer
    x = 290,675.76

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.