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Finding the Third Proportional to 58,790 and 83,775

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Solution

The third proportional to 58,790 and 83,775 is: 119,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,790 : 83,775 = 83,775 : x
  2. Step 2: Convert to fraction form
    58,790/83,775 = 83,775/x
  3. Step 3: Cross multiply
    58,790x = 83,775 × 83,775
  4. Step 4: Simplify right side
    58,790x = 7,018,250,625
  5. Step 5: Solve for x
    x = 7,018,250,625/58,790
  6. Step 6: Final answer
    x = 119,378.31

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.