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Finding the Third Proportional to 52,568 and 83,688

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Solution

The third proportional to 52,568 and 83,688 is: 133,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,568 : 83,688 = 83,688 : x
  2. Step 2: Convert to fraction form
    52,568/83,688 = 83,688/x
  3. Step 3: Cross multiply
    52,568x = 83,688 × 83,688
  4. Step 4: Simplify right side
    52,568x = 7,003,681,344
  5. Step 5: Solve for x
    x = 7,003,681,344/52,568
  6. Step 6: Final answer
    x = 133,230.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.