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Finding the Third Proportional to 52,000 and 83,736

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Solution

The third proportional to 52,000 and 83,736 is: 134,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,000 : 83,736 = 83,736 : x
  2. Step 2: Convert to fraction form
    52,000/83,736 = 83,736/x
  3. Step 3: Cross multiply
    52,000x = 83,736 × 83,736
  4. Step 4: Simplify right side
    52,000x = 7,011,717,696
  5. Step 5: Solve for x
    x = 7,011,717,696/52,000
  6. Step 6: Final answer
    x = 134,840.72

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.