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Finding the Third Proportional to 71,883 and 108,830.25

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Solution

The third proportional to 71,883 and 108,830.25 is: 164,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,883 : 108,830.25 = 108,830.25 : x
  2. Step 2: Convert to fraction form
    71,883/108,830.25 = 108,830.25/x
  3. Step 3: Cross multiply
    71,883x = 108,830.25 × 108,830.25
  4. Step 4: Simplify right side
    71,883x = 11,844,023,315.06
  5. Step 5: Solve for x
    x = 11,844,023,315.06/71,883
  6. Step 6: Final answer
    x = 164,768.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.