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Finding the Third Proportional to 52,570 and 81,627

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Solution

The third proportional to 52,570 and 81,627 is: 126,744.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,570 : 81,627 = 81,627 : x
  2. Step 2: Convert to fraction form
    52,570/81,627 = 81,627/x
  3. Step 3: Cross multiply
    52,570x = 81,627 × 81,627
  4. Step 4: Simplify right side
    52,570x = 6,662,967,129
  5. Step 5: Solve for x
    x = 6,662,967,129/52,570
  6. Step 6: Final answer
    x = 126,744.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.