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Finding the Third Proportional to 61,770 and 83,883

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Solution

The third proportional to 61,770 and 83,883 is: 113,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,770 : 83,883 = 83,883 : x
  2. Step 2: Convert to fraction form
    61,770/83,883 = 83,883/x
  3. Step 3: Cross multiply
    61,770x = 83,883 × 83,883
  4. Step 4: Simplify right side
    61,770x = 7,036,357,689
  5. Step 5: Solve for x
    x = 7,036,357,689/61,770
  6. Step 6: Final answer
    x = 113,912.22

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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.