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Finding the Third Proportional to 58,081 and 85,420.25

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Solution

The third proportional to 58,081 and 85,420.25 is: 125,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,081 : 85,420.25 = 85,420.25 : x
  2. Step 2: Convert to fraction form
    58,081/85,420.25 = 85,420.25/x
  3. Step 3: Cross multiply
    58,081x = 85,420.25 × 85,420.25
  4. Step 4: Simplify right side
    58,081x = 7,296,619,110.06
  5. Step 5: Solve for x
    x = 7,296,619,110.06/58,081
  6. Step 6: Final answer
    x = 125,628.33

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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.