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Finding the Third Proportional to 29,272 and 69,068.50

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Solution

The third proportional to 29,272 and 69,068.50 is: 162,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,272 : 69,068.50 = 69,068.50 : x
  2. Step 2: Convert to fraction form
    29,272/69,068.50 = 69,068.50/x
  3. Step 3: Cross multiply
    29,272x = 69,068.50 × 69,068.50
  4. Step 4: Simplify right side
    29,272x = 4,770,457,692.25
  5. Step 5: Solve for x
    x = 4,770,457,692.25/29,272
  6. Step 6: Final answer
    x = 162,969.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.