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Finding the Third Proportional to 53,065.13 and 83,161.69

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Solution

The third proportional to 53,065.13 and 83,161.69 is: 130,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065.13 : 83,161.69 = 83,161.69 : x
  2. Step 2: Convert to fraction form
    53,065.13/83,161.69 = 83,161.69/x
  3. Step 3: Cross multiply
    53,065.13x = 83,161.69 × 83,161.69
  4. Step 4: Simplify right side
    53,065.13x = 6,915,866,267.85
  5. Step 5: Solve for x
    x = 6,915,866,267.85/53,065.13
  6. Step 6: Final answer
    x = 130,327.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.