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Finding the Third Proportional to 61,486.59 and 83,083.22

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Solution

The third proportional to 61,486.59 and 83,083.22 is: 112,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,486.59 : 83,083.22 = 83,083.22 : x
  2. Step 2: Convert to fraction form
    61,486.59/83,083.22 = 83,083.22/x
  3. Step 3: Cross multiply
    61,486.59x = 83,083.22 × 83,083.22
  4. Step 4: Simplify right side
    61,486.59x = 6,902,821,237.86
  5. Step 5: Solve for x
    x = 6,902,821,237.86/61,486.59
  6. Step 6: Final answer
    x = 112,265.47

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.