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Finding the Third Proportional to 57,104 and 83,788

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Solution

The third proportional to 57,104 and 83,788 is: 122,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,104 : 83,788 = 83,788 : x
  2. Step 2: Convert to fraction form
    57,104/83,788 = 83,788/x
  3. Step 3: Cross multiply
    57,104x = 83,788 × 83,788
  4. Step 4: Simplify right side
    57,104x = 7,020,428,944
  5. Step 5: Solve for x
    x = 7,020,428,944/57,104
  6. Step 6: Final answer
    x = 122,941.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.