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Finding the Third Proportional to 52,584 and 113,592

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Solution

The third proportional to 52,584 and 113,592 is: 245,381.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,584 : 113,592 = 113,592 : x
  2. Step 2: Convert to fraction form
    52,584/113,592 = 113,592/x
  3. Step 3: Cross multiply
    52,584x = 113,592 × 113,592
  4. Step 4: Simplify right side
    52,584x = 12,903,142,464
  5. Step 5: Solve for x
    x = 12,903,142,464/52,584
  6. Step 6: Final answer
    x = 245,381.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.