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Finding the Third Proportional to 53,205.61 and 79,347.09

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Solution

The third proportional to 53,205.61 and 79,347.09 is: 118,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.61 : 79,347.09 = 79,347.09 : x
  2. Step 2: Convert to fraction form
    53,205.61/79,347.09 = 79,347.09/x
  3. Step 3: Cross multiply
    53,205.61x = 79,347.09 × 79,347.09
  4. Step 4: Simplify right side
    53,205.61x = 6,295,961,286.57
  5. Step 5: Solve for x
    x = 6,295,961,286.57/53,205.61
  6. Step 6: Final answer
    x = 118,332.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.