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Finding the Third Proportional to 43,590 and 69,061

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Solution

The third proportional to 43,590 and 69,061 is: 109,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,590 : 69,061 = 69,061 : x
  2. Step 2: Convert to fraction form
    43,590/69,061 = 69,061/x
  3. Step 3: Cross multiply
    43,590x = 69,061 × 69,061
  4. Step 4: Simplify right side
    43,590x = 4,769,421,721
  5. Step 5: Solve for x
    x = 4,769,421,721/43,590
  6. Step 6: Final answer
    x = 109,415.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.