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Finding the Third Proportional to 52,770 and 71,619

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Solution

The third proportional to 52,770 and 71,619 is: 97,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,770 : 71,619 = 71,619 : x
  2. Step 2: Convert to fraction form
    52,770/71,619 = 71,619/x
  3. Step 3: Cross multiply
    52,770x = 71,619 × 71,619
  4. Step 4: Simplify right side
    52,770x = 5,129,281,161
  5. Step 5: Solve for x
    x = 5,129,281,161/52,770
  6. Step 6: Final answer
    x = 97,200.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.