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Finding the Third Proportional to 55,984.13 and 83,941.13

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Solution

The third proportional to 55,984.13 and 83,941.13 is: 125,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,984.13 : 83,941.13 = 83,941.13 : x
  2. Step 2: Convert to fraction form
    55,984.13/83,941.13 = 83,941.13/x
  3. Step 3: Cross multiply
    55,984.13x = 83,941.13 × 83,941.13
  4. Step 4: Simplify right side
    55,984.13x = 7,046,112,466.27
  5. Step 5: Solve for x
    x = 7,046,112,466.27/55,984.13
  6. Step 6: Final answer
    x = 125,859.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.