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Finding the Third Proportional to 129,699.50 and 238,087

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Solution

The third proportional to 129,699.50 and 238,087 is: 437,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,699.50 : 238,087 = 238,087 : x
  2. Step 2: Convert to fraction form
    129,699.50/238,087 = 238,087/x
  3. Step 3: Cross multiply
    129,699.50x = 238,087 × 238,087
  4. Step 4: Simplify right side
    129,699.50x = 56,685,419,569
  5. Step 5: Solve for x
    x = 56,685,419,569/129,699.50
  6. Step 6: Final answer
    x = 437,051.95

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.