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Finding the Third Proportional to 59,869.13 and 83,242.69

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Solution

The third proportional to 59,869.13 and 83,242.69 is: 115,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,869.13 : 83,242.69 = 83,242.69 : x
  2. Step 2: Convert to fraction form
    59,869.13/83,242.69 = 83,242.69/x
  3. Step 3: Cross multiply
    59,869.13x = 83,242.69 × 83,242.69
  4. Step 4: Simplify right side
    59,869.13x = 6,929,345,022.22
  5. Step 5: Solve for x
    x = 6,929,345,022.22/59,869.13
  6. Step 6: Final answer
    x = 115,741.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.